Least Common Multiple of 942 and 950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 942 and 950 the smallest integer that is 447450 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 950 is 447450.

LCM(942,950) = 447450

LCM of 942 and 950

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

LCM of:
and

Least Common Multiple of 942 and 950

LCM of 942 and 950 is 447450

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 950. First we will calculate the prime factors of 942 and 950.

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 950.

LCM(942,950) = 21×31×52×191×1571
LCM(942,950) = 447450

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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

Least Common Multiple of 942 and 950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 942 and 950, than apply into the LCM equation.

GCF(942,950) = 2
LCM(942,950) = ( 942 × 950) / 2
LCM(942,950) = 894900 / 2
LCM(942,950) = 447450

Properties of LCM 942 and 950

(i) The LCM of 950 and 942 is associative

LCM of 942 and 950 = LCM of 950 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 950

Frequently Asked Questions on LCM of 942 and 950

1. What is the LCM of 942 and 950?

Answer: LCM of 942 and 950 is 447450.

2. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

3. 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.

4. How to Find the LCM of 942 and 950?

Answer:

Least Common Multiple of 942 and 950 = 447450

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

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

LCM = 447450 = 2 x 3 x 5 x 5 x 19 x 157

Step 4: Therefore, the least common multiple of 942 and 950 is 447450.