lowest common multiple (LCM) of the following three terms: 3a; 6b2 ;7a3b.
Question
lowest common multiple (LCM) of the following three terms: 3a; 6b2 ;7a3b.
Solution
The lowest common multiple (LCM) of the terms 3a, 6b², and 7a³b is found by taking the highest powers of all the variables and numbers in the terms.
Step 1: Identify the highest power of each variable and number in the terms.
- The highest power of the number 3 is 1 (from the term 3a).
- The highest power of the number 6 is 1 (from the term 6b²).
- The highest power of the number 7 is 1 (from the term 7a³b).
- The highest power of the variable a is 3 (from the term 7a³b).
- The highest power of the variable b is 2 (from the term 6b²).
Step 2: Multiply together the highest powers identified in Step 1.
- LCM = 6 * a³ * b²
So, the LCM of 3a, 6b², and 7a³b is 6a³b².
Similar Questions
BNU1501October/November 20238[1] 60s3t3[2] 30st[3] 30s2t2[4] 60s2t2Question 7b [4]Determine the lowest common multiple (LCM) of the following three terms: 2p2 ,6pq4 ,4p
Determine the lowest common multiple (LCM) of the following three terms: 2p2, 6pq4, 4p22𝑝2, 6𝑝𝑞4, 4𝑝2. A.12p2q412𝑝2𝑞4B.6p2q46𝑝2𝑞4C.6p4q26𝑝4𝑞2D.12p2q2
Determine the lowest common multiple (LCM) of the following three terms: 2p2 ,6pq4 ,4p2.Answer:The multiples of p are: p, p2The multiples of q are: q, q2 , q3 , q4The multiples of 2 are: 2, 4, 6, 8, 10, 12The multiples of 4 are: 4, 8, 12The multiples of 6 are: 6, 12Therefore, the LCM of 2p2 ,6pq4 ,4p2 is 12p2q4[1] 12p2q4[2] 6p2 q 4[3] 6p4q2[4] 12p2q2Question 7c [4]Determine the lowest common multiple (LCM) of the following three terms: 3a; 6b2 ;7a3b.Answer:The multiples of a are: a, a2 , a3The multiples of b are: b, b2The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42The multiples of 7 are: 7, 14, 21, 28, 35, 42Therefore, the LCM of 3a; 6b2 ;7a3b is 42a3b2[1] 42ab
Find the LCM of 3, 7 and 12.
LCM of 23×3×52 3 ×3×5 and 24×5×72 4 ×5×7 is _______
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.