Least Common Multiple of 966, 736, 987, 171, 738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 966, 736, 987, 171, 738 i.e. 1697671584 smallest integer divisible by all numbers.

Least common multiple (LCM) of 966, 736, 987, 171, 738 is 1697671584.

LCM(966, 736, 987, 171, 738) = 1697671584

LCM of 966, 736, 987, 171, 738

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

LCM of:

Least Common Multiple of 966,736,987,171,738

Least Common Multiple (LCM) of 966,736,987,171,738 is 1697671584

2 966, 736, 987, 171, 738
3 483, 368, 987, 171, 369
3 161, 368, 329, 57, 123
7 161, 368, 329, 19, 41
23 23, 368, 47, 19, 41
1, 16, 47, 19, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 23 x 1 x 16 x 47 x 19 x 41 = 1697671584

Least Common Multiple of 966,736,987,171,738 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 966,736,987,171,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,736,987,171,738) = 1

common factors(in case of two or more numbers have common factors) = 52164

GCF(966,736,987,171,738) x common factors =1 x 52164 = 52164

LCM(966,736,987,171,738) = ( 966 × 736 × 987 × 171 × 738 ) / 52164

LCM(966,736,987,171,738) = 88557340507776 / 52164

LCM(966,736,987,171,738) = 1697671584

∴ Least Common Multiple of 966,736,987,171,738 is 1697671584

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 966, 736, 987, 171, 738

1. What is the LCM of 966, 736, 987, 171, 738?

Answer: LCM of 966, 736, 987, 171, 738 is 1697671584.

2. What are the Factors of 1697671584?

Answer: Factors of 1697671584 are . There are integers that are factors of 1697671584

3. How to Find the LCM of 966, 736, 987, 171, 738 ?

Least Common Multiple of 966, 736, 987, 171, 738.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(966, 736, 987, 171, 738) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 23 x 41 x 47 = 1697671584.