Least Common Multiple of 65/82, 97/95, 508/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/82, 97/95, 508/677 quickly i.e. 3202940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/82, 97/95, 508/677 is 3202940.

LCM(65/82, 97/95, 508/677) = 3202940

LCM of 65/82, 97/95, 508/677

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 65/82,97/95,508/677

Given numbers are 65/82,97/95,508/677

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 65,97,508

Least Common Multiple of Numerators i.e. LCM of 65,97,508 is 3202940.

GCF of Denominators means GCF of 82,95,677 as per the given fractions.

GCF of 82,95,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,97,508

LCM of Fractions 65/82,97/95,508/677 is 3202940

Given numbers has no common factors except 1. So, there LCM is their product i.e 3202940

Least Common Multiple of 65,97,508 with GCF Formula

Least Common Multiple of 65,97,508 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 65,97,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,97,508) = 1

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

GCF(65,97,508) x common factors =1 x 1 = 1

LCM(65,97,508) = ( 65 × 97 × 508 ) / 1

LCM(65,97,508) = 3202940 / 1

LCM(65,97,508) = 3202940


Lets's calculate GCF of 82,95,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3202940/1

Therefore the LCM of Fractions 65/82,97/95,508/677 is 3202940

Greatest Common Factor of 82,95,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,95,677 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 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 82,95,677 . The biggest common factor number is the GCF number.
So the greatest common factor 82,95,677 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/82, 97/95, 508/677

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 65/82, 97/95, 508/677?

Answer: LCM of Numerators as per given numbers 65/82, 97/95, 508/677 is

LCM of Numerators i.e. for 65,97,508 is 3202940

GCF of denominators i.e. for 82,95,677 is 1.

Thus, LCM of Fractions is 3202940.Finally, LCM of Fractions for 65/82, 97/95, 508/677 is 3202940.