Least Common Multiple of 978/892, 679/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/892, 679/407 quickly i.e. 664062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/892, 679/407 is 664062.

LCM(978/892, 679/407) = 664062

LCM of 978/892, 679/407

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 978/892,679/407

Given numbers are 978/892,679/407

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 978,679

Least Common Multiple of Numerators i.e. LCM of 978,679 is 664062.

GCF of Denominators means GCF of 892,407 as per the given fractions.

GCF of 892,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,679

LCM of Fractions 978/892,679/407 is 664062

Given numbers has no common factors except 1. So, there LCM is their product i.e 664062

Least Common Multiple of 978,679 with GCF Formula

Least Common Multiple of 978,679 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 978,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,679) = 1

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

GCF(978,679) x common factors =1 x 1 = 1

LCM(978,679) = ( 978 × 679 ) / 1

LCM(978,679) = 664062 / 1

LCM(978,679) = 664062


Lets's calculate GCF of 892,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664062/1

Therefore the LCM of Fractions 978/892,679/407 is 664062

Greatest Common Factor of 892,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,407 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 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 892,407 . The biggest common factor number is the GCF number.
So the greatest common factor 892,407 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 978/892, 679/407

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 978/892, 679/407?

Answer: LCM of Numerators as per given numbers 978/892, 679/407 is

LCM of Numerators i.e. for 978,679 is 664062

GCF of denominators i.e. for 892,407 is 1.

Thus, LCM of Fractions is 664062.Finally, LCM of Fractions for 978/892, 679/407 is 664062.