Least Common Multiple of 948 and 951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 948 and 951 the smallest integer that is 300516 that is divisible by both numbers.

Least Common Multiple (LCM) of 948 and 951 is 300516.

LCM(948,951) = 300516

LCM of 948 and 951

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 948 and 951

LCM of 948 and 951 is 300516

Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 951. First we will calculate the prime factors of 948 and 951.

Prime Factorization of 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

Prime Factorization of 951


3 951
317 317
1

Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:

951 = 31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 948 and 951.

LCM(948,951) = 22×31×791×3171
LCM(948,951) = 300516

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Least Common Multiple of 948 and 951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 948 and 951, than apply into the LCM equation.

GCF(948,951) = 3
LCM(948,951) = ( 948 × 951) / 3
LCM(948,951) = 901548 / 3
LCM(948,951) = 300516

Properties of LCM 948 and 951

(i) The LCM of 951 and 948 is associative

LCM of 948 and 951 = LCM of 951 and 948

Related Least Common Multiples of 948

Related Least Common Multiples of 951

Frequently Asked Questions on LCM of 948 and 951

1. What is the LCM of 948 and 951?

Answer: LCM of 948 and 951 is 300516.

2. What are the Factors of 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

3. What are the Factors of 951?

Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.

4. How to Find the LCM of 948 and 951?

Answer:

Least Common Multiple of 948 and 951 = 300516

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 951

951 = 3 x 317

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 300516 = 2 x 2 x 3 x 79 x 317

Step 4: Therefore, the least common multiple of 948 and 951 is 300516.