Least Common Multiple of 4969/779, 6752/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4969/779, 6752/988 quickly i.e. 33550688/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4969/779, 6752/988 is 33550688/19.

LCM(4969/779, 6752/988) = 33550688/19

LCM of 4969/779, 6752/988

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 4969/779,6752/988

Given numbers are 4969/779,6752/988

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 4969,6752

Least Common Multiple of Numerators i.e. LCM of 4969,6752 is 33550688.

GCF of Denominators means GCF of 779,988 as per the given fractions.

GCF of 779,988 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4969,6752

LCM of Fractions 4969/779,6752/988 is 33550688/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 33550688

Least Common Multiple of 4969,6752 with GCF Formula

Least Common Multiple of 4969,6752 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 4969,6752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4969,6752) = 1

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

GCF(4969,6752) x common factors =1 x 1 = 1

LCM(4969,6752) = ( 4969 × 6752 ) / 1

LCM(4969,6752) = 33550688 / 1

LCM(4969,6752) = 33550688


Lets's calculate GCF of 779,988

19 779, 988
41, 52

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33550688/19

Therefore the LCM of Fractions 4969/779,6752/988 is 33550688/19

Greatest Common Factor of 779,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,988 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 779,988 . The biggest common factor number is the GCF number.
So the greatest common factor 779,988 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4969/779, 6752/988

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 4969/779, 6752/988?

Answer: LCM of Numerators as per given numbers 4969/779, 6752/988 is

LCM of Numerators i.e. for 4969,6752 is 33550688

GCF of denominators i.e. for 779,988 is 19.

Thus, LCM of Fractions is 33550688/19.Finally, LCM of Fractions for 4969/779, 6752/988 is 33550688/19.