Least Common Multiple of 934 and 940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 934 and 940 the smallest integer that is 438980 that is divisible by both numbers.

Least Common Multiple (LCM) of 934 and 940 is 438980.

LCM(934,940) = 438980

LCM of 934 and 940

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

LCM of:
and

Least Common Multiple of 934 and 940

LCM of 934 and 940 is 438980

Least common multiple can be found by multiplying the highest exponent prime factors of 934 and 940. First we will calculate the prime factors of 934 and 940.

Prime Factorization of 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 934 and 940.

LCM(934,940) = 22×51×471×4671
LCM(934,940) = 438980

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

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

Least Common Multiple of 934 and 940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 934 and 940, than apply into the LCM equation.

GCF(934,940) = 2
LCM(934,940) = ( 934 × 940) / 2
LCM(934,940) = 877960 / 2
LCM(934,940) = 438980

Properties of LCM 934 and 940

(i) The LCM of 940 and 934 is associative

LCM of 934 and 940 = LCM of 940 and 934

Related Least Common Multiples of 934

Related Least Common Multiples of 940

Frequently Asked Questions on LCM of 934 and 940

1. What is the LCM of 934 and 940?

Answer: LCM of 934 and 940 is 438980.

2. What are the Factors of 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

3. 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.

4. How to Find the LCM of 934 and 940?

Answer:

Least Common Multiple of 934 and 940 = 438980

Step 1: Find the prime factorization of 934

934 = 2 x 467

Step 2: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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

LCM = 438980 = 2 x 2 x 5 x 47 x 467

Step 4: Therefore, the least common multiple of 934 and 940 is 438980.