Answer:
1. LCM of 7, 10 and 3 = 210
2. LCM of 15, 3 and 2 = 30
3. LCM of 7, 3 and 5 = 105
4. LCM of 4 and 7 = 28
Step-by-step explanation:
Solving (1): LCM of 7, 10 and 3
First, factorize each of the numbers:
[tex]7 = 1 * 7[/tex]
[tex]10 = 1 * 2 * 5[/tex]
[tex]3 = 1 * 3[/tex]
Multiply the factors the highest number of times it occur in any of the terms
[tex]LCM = 1 * 2 * 3 * 5 * 7[/tex]
[tex]LCM = 210[/tex]
Solving (2): LCM of 15, 3 and 2
First, factorize each of the numbers:
[tex]15 =1 * 3 * 5[/tex]
[tex]3 = 1 * 3[/tex]
[tex]2 = 1 * 2[/tex]
Multiply the factors the highest number of times it occur in any of the terms
[tex]LCM = 1 * 2 * 3 * 5[/tex]
[tex]LCM = 30[/tex]
Solving (3): LCM of 7, 3 and 5
First, factorize each of the numbers:
[tex]7 = 1 * 7[/tex]
[tex]3 = 1 * 3[/tex]
[tex]5 = 1 * 5[/tex]
Multiply the factors the highest number of times it occur in any of the terms
[tex]LCM = 1 * 3 * 5 * 7[/tex]
[tex]LCM = 105[/tex]
Solving (4): LCM of 4 and 7
First, factorize each of the numbers:
[tex]4 = 1 * 4[/tex]
[tex]7 = 1 * 7[/tex]
Multiply the factors the highest number of times it occur in any of the terms
[tex]LCM = 1 * 4 * 7[/tex]
[tex]LCM = 28[/tex]
