Question

GCF and LCM of 45,60,105
I need help

Answer 1

Answer:

For LCM

1. Find the prime factors of 45

More Icon

Tree view of the prime factors of 45: 3, 3 and 5

The prime factors of 45 are 3, 3 and 5.

2. Find the prime factors of 60

More Icon

Tree view of the prime factors of 60: 2, 2, 3 and 5

The prime factors of 60 are 2, 2, 3 and 5.

3. Find the prime factors of 105

More Icon

Tree view of the prime factors of 105: 3, 5 and 7

The prime factors of 105 are 3, 5 and 7.

4. Build a prime factors table

More Icon

Determine the maximum number of times each prime factor (2, 3, 5, 7) occurs in the factorization of the given numbers:

5. Calculate the LCM

More Icon

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM =  

The least common multiple of 45, 60 and 105 is 1260.

Gcf

1-The prime factors of 45 are 3, 3 and 5.

2-The prime factors of 60 are 2, 2, 3 and 5.

3-The prime factors of 105 are 3, 5 and 7.

The greatest common factor is equal to the product of the prime factors that all of the original numbers have in common.

GCF = 3.5

The greatest common factor of 45, 60 and 105 is 15.

Step-by-step explanation:

Hope it helps you

Answer 2

2 I 45,60,105

2 I 45,30,105

3 I 45,15,105. LCM = 315

3 I 15,5,35

5 I 5,5,35

7 I 1,1,7

I 1,1,1

HCF=

3 I 45

3 I 15

5 I 5

I 1

45 = 3×3×5 I

60 = 2×2×3×5

105 = 3×5×7

HCF = 3×5

2 I 60

2 I 30

3 I 15

5 I 5

I 1

3 I 105

5 I 35

7 I 7

I 1

Please follow for morre solved questions please