Least Common Multiple of 84, 10, 76, 14

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 84, 10, 76, 14 i.e. 7980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 10, 76, 14 is 7980.

LCM(84, 10, 76, 14) = 7980

LCM of 84, 10, 76, 14

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

LCM of:

Least Common Multiple of 84,10,76,14

Least Common Multiple (LCM) of 84,10,76,14 is 7980

2 84, 10, 76, 14
2 42, 5, 38, 7
7 21, 5, 19, 7
3, 5, 19, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 5 x 19 x 1 = 7980

Least Common Multiple of 84,10,76,14 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 84,10,76,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,10,76,14) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(84,10,76,14) x common factors =2 x 56 = 112

LCM(84,10,76,14) = ( 84 × 10 × 76 × 14 ) / 112

LCM(84,10,76,14) = 893760 / 112

LCM(84,10,76,14) = 7980

∴ Least Common Multiple of 84,10,76,14 is 7980

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 84, 10, 76, 14

1. What is the LCM of 84, 10, 76, 14?

Answer: LCM of 84, 10, 76, 14 is 7980.

2. What are the Factors of 7980?

Answer: Factors of 7980 are . There are integers that are factors of 7980

3. How to Find the LCM of 84, 10, 76, 14 ?

Least Common Multiple of 84, 10, 76, 14.

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(84, 10, 76, 14) = 2 x 2 x 3 x 5 x 7 x 19 = 7980.