Least Common Multiple of 977/82, 626/99, 817/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 977/82, 626/99, 817/438 quickly i.e. 499678834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/82, 626/99, 817/438 is 499678834.

LCM(977/82, 626/99, 817/438) = 499678834

LCM of 977/82, 626/99, 817/438

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 977/82,626/99,817/438

Given numbers are 977/82,626/99,817/438

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 977,626,817

Least Common Multiple of Numerators i.e. LCM of 977,626,817 is 499678834.

GCF of Denominators means GCF of 82,99,438 as per the given fractions.

GCF of 82,99,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,626,817

LCM of Fractions 977/82,626/99,817/438 is 499678834

Given numbers has no common factors except 1. So, there LCM is their product i.e 499678834

Least Common Multiple of 977,626,817 with GCF Formula

Least Common Multiple of 977,626,817 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 977,626,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,626,817) = 1

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

GCF(977,626,817) x common factors =1 x 1 = 1

LCM(977,626,817) = ( 977 × 626 × 817 ) / 1

LCM(977,626,817) = 499678834 / 1

LCM(977,626,817) = 499678834


Lets's calculate GCF of 82,99,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499678834/1

Therefore the LCM of Fractions 977/82,626/99,817/438 is 499678834

Greatest Common Factor of 82,99,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,99,438 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 82,99,438 . The biggest common factor number is the GCF number.
So the greatest common factor 82,99,438 is 1.


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Frequently Asked Questions on Fractional LCM of 977/82, 626/99, 817/438

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 977/82, 626/99, 817/438?

Answer: LCM of Numerators as per given numbers 977/82, 626/99, 817/438 is

LCM of Numerators i.e. for 977,626,817 is 499678834

GCF of denominators i.e. for 82,99,438 is 1.

Thus, LCM of Fractions is 499678834.Finally, LCM of Fractions for 977/82, 626/99, 817/438 is 499678834.