Least Common Multiple of 950 and 956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 950 and 956 the smallest integer that is 454100 that is divisible by both numbers.

Least Common Multiple (LCM) of 950 and 956 is 454100.

LCM(950,956) = 454100

LCM of 950 and 956

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

LCM of:
and

Least Common Multiple of 950 and 956

LCM of 950 and 956 is 454100

Least common multiple can be found by multiplying the highest exponent prime factors of 950 and 956. First we will calculate the prime factors of 950 and 956.

Prime Factorization of 950


2 950
5 475
5 95
19 19
1

Prime factors of 950 are 2, 5,19. Prime factorization of 950 in exponential form is:

950 = 21×52×191

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 950 and 956.

LCM(950,956) = 22×52×191×2391
LCM(950,956) = 454100

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Least Common Multiple of 950 and 956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 950 and 956, than apply into the LCM equation.

GCF(950,956) = 2
LCM(950,956) = ( 950 × 956) / 2
LCM(950,956) = 908200 / 2
LCM(950,956) = 454100

Properties of LCM 950 and 956

(i) The LCM of 956 and 950 is associative

LCM of 950 and 956 = LCM of 956 and 950

Related Least Common Multiples of 950

Related Least Common Multiples of 956

Frequently Asked Questions on LCM of 950 and 956

1. What is the LCM of 950 and 956?

Answer: LCM of 950 and 956 is 454100.

2. What are the Factors of 950?

Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.

3. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

4. How to Find the LCM of 950 and 956?

Answer:

Least Common Multiple of 950 and 956 = 454100

Step 1: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 956

956 = 2 x 2 x 239

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

LCM = 454100 = 2 x 2 x 5 x 5 x 19 x 239

Step 4: Therefore, the least common multiple of 950 and 956 is 454100.