Least Common Multiple of 690/97, 265/2872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 690/97, 265/2872 quickly i.e. 36570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/97, 265/2872 is 36570.

LCM(690/97, 265/2872) = 36570

LCM of 690/97, 265/2872

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 690/97,265/2872

Given numbers are 690/97,265/2872

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 690,265

Least Common Multiple of Numerators i.e. LCM of 690,265 is 36570.

GCF of Denominators means GCF of 97,2872 as per the given fractions.

GCF of 97,2872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,265

LCM of Fractions 690/97,265/2872 is 36570

5 690, 265
138, 53

∴ So the LCM of the given numbers is 5 x 138 x 53 = 36570

Least Common Multiple of 690,265 with GCF Formula

Least Common Multiple of 690,265 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 690,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,265) = 5

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

GCF(690,265) x common factors =5 x 1 = 5

LCM(690,265) = ( 690 × 265 ) / 5

LCM(690,265) = 182850 / 5

LCM(690,265) = 36570


Lets's calculate GCF of 97,2872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36570/1

Therefore the LCM of Fractions 690/97,265/2872 is 36570

Greatest Common Factor of 97,2872 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,2872 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors 97,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 97,2872 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 690/97, 265/2872

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 690/97, 265/2872?

Answer: LCM of Numerators as per given numbers 690/97, 265/2872 is

LCM of Numerators i.e. for 690,265 is 36570

GCF of denominators i.e. for 97,2872 is 1.

Thus, LCM of Fractions is 36570.Finally, LCM of Fractions for 690/97, 265/2872 is 36570.