Least Common Multiple of 7980/662, 6172/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7980/662, 6172/818 quickly i.e. 6156570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7980/662, 6172/818 is 6156570.

LCM(7980/662, 6172/818) = 6156570

LCM of 7980/662, 6172/818

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7980/662,6172/818

Given numbers are 7980/662,6172/818

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7980,6172

Least Common Multiple of Numerators i.e. LCM of 7980,6172 is 12313140.

GCF of Denominators means GCF of 662,818 as per the given fractions.

GCF of 662,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7980,6172

LCM of Fractions 7980/662,6172/818 is 6156570

2 7980, 6172
2 3990, 3086
1995, 1543

∴ So the LCM of the given numbers is 2 x 2 x 1995 x 1543 = 12313140

Least Common Multiple of 7980,6172 with GCF Formula

Least Common Multiple of 7980,6172 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 7980,6172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7980,6172) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(7980,6172) x common factors =4 x 1 = 4

LCM(7980,6172) = ( 7980 × 6172 ) / 4

LCM(7980,6172) = 49252560 / 4

LCM(7980,6172) = 12313140


Lets's calculate GCF of 662,818

2 662, 818
331, 409

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12313140/2

Therefore the LCM of Fractions 7980/662,6172/818 is 6156570

Greatest Common Factor of 662,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,818 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 662,818 . The biggest common factor number is the GCF number.
So the greatest common factor 662,818 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7980/662, 6172/818

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7980/662, 6172/818?

Answer: LCM of Numerators as per given numbers 7980/662, 6172/818 is

LCM of Numerators i.e. for 7980,6172 is 12313140

GCF of denominators i.e. for 662,818 is 2.

Thus, LCM of Fractions is 6156570.Finally, LCM of Fractions for 7980/662, 6172/818 is 6156570.