Least Common Multiple of 6414/892, 6642/9961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6414/892, 6642/9961 quickly i.e. 7100298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6414/892, 6642/9961 is 7100298.

LCM(6414/892, 6642/9961) = 7100298

LCM of 6414/892, 6642/9961

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 6414/892,6642/9961

Given numbers are 6414/892,6642/9961

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 6414,6642

Least Common Multiple of Numerators i.e. LCM of 6414,6642 is 7100298.

GCF of Denominators means GCF of 892,9961 as per the given fractions.

GCF of 892,9961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6414,6642

LCM of Fractions 6414/892,6642/9961 is 7100298

2 6414, 6642
3 3207, 3321
1069, 1107

∴ So the LCM of the given numbers is 2 x 3 x 1069 x 1107 = 7100298

Least Common Multiple of 6414,6642 with GCF Formula

Least Common Multiple of 6414,6642 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 6414,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6414,6642) = 6

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

GCF(6414,6642) x common factors =6 x 1 = 6

LCM(6414,6642) = ( 6414 × 6642 ) / 6

LCM(6414,6642) = 42601788 / 6

LCM(6414,6642) = 7100298


Lets's calculate GCF of 892,9961

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7100298/1

Therefore the LCM of Fractions 6414/892,6642/9961 is 7100298

Greatest Common Factor of 892,9961 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,9961 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 9961

List of positive integer factors of 9961 that divides 9961 without a remainder.

1,7,1423,9961

Greatest Common Factor

We found the factors 892,9961 . The biggest common factor number is the GCF number.
So the greatest common factor 892,9961 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6414/892, 6642/9961

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 6414/892, 6642/9961?

Answer: LCM of Numerators as per given numbers 6414/892, 6642/9961 is

LCM of Numerators i.e. for 6414,6642 is 7100298

GCF of denominators i.e. for 892,9961 is 1.

Thus, LCM of Fractions is 7100298.Finally, LCM of Fractions for 6414/892, 6642/9961 is 7100298.