Least Common Multiple of 940 and 947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 940 and 947 the smallest integer that is 890180 that is divisible by both numbers.

Least Common Multiple (LCM) of 940 and 947 is 890180.

LCM(940,947) = 890180

LCM of 940 and 947

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

LCM of:
and

Least Common Multiple of 940 and 947

LCM of 940 and 947 is 890180

Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 947. First we will calculate the prime factors of 940 and 947.

Prime Factorization of 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

Prime Factorization of 947


947 947
1

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 947.

LCM(940,947) = 22×51×471×9471
LCM(940,947) = 890180

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1, 947

Least Common Multiple of 940 and 947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 940 and 947, than apply into the LCM equation.

GCF(940,947) = 1
LCM(940,947) = ( 940 × 947) / 1
LCM(940,947) = 890180 / 1
LCM(940,947) = 890180

Properties of LCM 940 and 947

(i) The LCM of 947 and 940 is associative

LCM of 940 and 947 = LCM of 947 and 940

Related Least Common Multiples of 940

Related Least Common Multiples of 947

Frequently Asked Questions on LCM of 940 and 947

1. What is the LCM of 940 and 947?

Answer: LCM of 940 and 947 is 890180.

2. What are the Factors of 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

3. What are the Factors of 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

4. How to Find the LCM of 940 and 947?

Answer:

Least Common Multiple of 940 and 947 = 890180

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 947

947 = 947

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

LCM = 890180 = 2 x 2 x 5 x 47 x 947

Step 4: Therefore, the least common multiple of 940 and 947 is 890180.