Least Common Multiple of 49/836, 52/667, 637/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/836, 52/667, 637/978 quickly i.e. 2548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/836, 52/667, 637/978 is 2548.

LCM(49/836, 52/667, 637/978) = 2548

LCM of 49/836, 52/667, 637/978

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 49/836,52/667,637/978

Given numbers are 49/836,52/667,637/978

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 49,52,637

Least Common Multiple of Numerators i.e. LCM of 49,52,637 is 2548.

GCF of Denominators means GCF of 836,667,978 as per the given fractions.

GCF of 836,667,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,52,637

LCM of Fractions 49/836,52/667,637/978 is 2548

7 49, 52, 637
7 7, 52, 91
13 1, 52, 13
1, 4, 1

∴ So the LCM of the given numbers is 7 x 7 x 13 x 1 x 4 x 1 = 2548

Least Common Multiple of 49,52,637 with GCF Formula

Least Common Multiple of 49,52,637 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 49,52,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,52,637) = 1

common factors(in case of two or more numbers have common factors) = 637

GCF(49,52,637) x common factors =1 x 637 = 637

LCM(49,52,637) = ( 49 × 52 × 637 ) / 637

LCM(49,52,637) = 1623076 / 637

LCM(49,52,637) = 2548


Lets's calculate GCF of 836,667,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2548/1

Therefore the LCM of Fractions 49/836,52/667,637/978 is 2548

Greatest Common Factor of 836,667,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,667,978 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 836,667,978 . The biggest common factor number is the GCF number.
So the greatest common factor 836,667,978 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 49/836, 52/667, 637/978

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 49/836, 52/667, 637/978?

Answer: LCM of Numerators as per given numbers 49/836, 52/667, 637/978 is

LCM of Numerators i.e. for 49,52,637 is 2548

GCF of denominators i.e. for 836,667,978 is 1.

Thus, LCM of Fractions is 2548.Finally, LCM of Fractions for 49/836, 52/667, 637/978 is 2548.