Least Common Multiple of 61/82, 23/746, 267/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/82, 23/746, 267/253 quickly i.e. 374601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/82, 23/746, 267/253 is 374601.

LCM(61/82, 23/746, 267/253) = 374601

LCM of 61/82, 23/746, 267/253

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 61/82,23/746,267/253

Given numbers are 61/82,23/746,267/253

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 61,23,267

Least Common Multiple of Numerators i.e. LCM of 61,23,267 is 374601.

GCF of Denominators means GCF of 82,746,253 as per the given fractions.

GCF of 82,746,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,23,267

LCM of Fractions 61/82,23/746,267/253 is 374601

Given numbers has no common factors except 1. So, there LCM is their product i.e 374601

Least Common Multiple of 61,23,267 with GCF Formula

Least Common Multiple of 61,23,267 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 61,23,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,23,267) = 1

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

GCF(61,23,267) x common factors =1 x 1 = 1

LCM(61,23,267) = ( 61 × 23 × 267 ) / 1

LCM(61,23,267) = 374601 / 1

LCM(61,23,267) = 374601


Lets's calculate GCF of 82,746,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374601/1

Therefore the LCM of Fractions 61/82,23/746,267/253 is 374601

Greatest Common Factor of 82,746,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,746,253 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 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 82,746,253 . The biggest common factor number is the GCF number.
So the greatest common factor 82,746,253 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 61/82, 23/746, 267/253

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 61/82, 23/746, 267/253?

Answer: LCM of Numerators as per given numbers 61/82, 23/746, 267/253 is

LCM of Numerators i.e. for 61,23,267 is 374601

GCF of denominators i.e. for 82,746,253 is 1.

Thus, LCM of Fractions is 374601.Finally, LCM of Fractions for 61/82, 23/746, 267/253 is 374601.