Least Common Multiple of 950 and 957

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 957 the smallest integer that is 909150 that is divisible by both numbers.

Least Common Multiple (LCM) of 950 and 957 is 909150.

LCM(950,957) = 909150

LCM of 950 and 957

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

LCM of:
and

Least Common Multiple of 950 and 957

LCM of 950 and 957 is 909150

Least common multiple can be found by multiplying the highest exponent prime factors of 950 and 957. First we will calculate the prime factors of 950 and 957.

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 957


3 957
11 319
29 29
1

Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:

957 = 31×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 950 and 957.

LCM(950,957) = 21×31×52×111×191×291
LCM(950,957) = 909150

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 957

List of positive integer factors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Least Common Multiple of 950 and 957 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 957, than apply into the LCM equation.

GCF(950,957) = 1
LCM(950,957) = ( 950 × 957) / 1
LCM(950,957) = 909150 / 1
LCM(950,957) = 909150

Properties of LCM 950 and 957

(i) The LCM of 957 and 950 is associative

LCM of 950 and 957 = LCM of 957 and 950

Related Least Common Multiples of 950

Related Least Common Multiples of 957

Frequently Asked Questions on LCM of 950 and 957

1. What is the LCM of 950 and 957?

Answer: LCM of 950 and 957 is 909150.

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 957?

Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.

4. How to Find the LCM of 950 and 957?

Answer:

Least Common Multiple of 950 and 957 = 909150

Step 1: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 957

957 = 3 x 11 x 29

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

LCM = 909150 = 2 x 3 x 5 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 950 and 957 is 909150.