Least Common Multiple of 275/68, 972/6377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/68, 972/6377 quickly i.e. 267300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/68, 972/6377 is 267300.

LCM(275/68, 972/6377) = 267300

LCM of 275/68, 972/6377

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 275/68,972/6377

Given numbers are 275/68,972/6377

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 275,972

Least Common Multiple of Numerators i.e. LCM of 275,972 is 267300.

GCF of Denominators means GCF of 68,6377 as per the given fractions.

GCF of 68,6377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,972

LCM of Fractions 275/68,972/6377 is 267300

Given numbers has no common factors except 1. So, there LCM is their product i.e 267300

Least Common Multiple of 275,972 with GCF Formula

Least Common Multiple of 275,972 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 275,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,972) = 1

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

GCF(275,972) x common factors =1 x 1 = 1

LCM(275,972) = ( 275 × 972 ) / 1

LCM(275,972) = 267300 / 1

LCM(275,972) = 267300


Lets's calculate GCF of 68,6377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267300/1

Therefore the LCM of Fractions 275/68,972/6377 is 267300

Greatest Common Factor of 68,6377 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,6377 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 6377

List of positive integer factors of 6377 that divides 6377 without a remainder.

1,7,911,6377

Greatest Common Factor

We found the factors 68,6377 . The biggest common factor number is the GCF number.
So the greatest common factor 68,6377 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 275/68, 972/6377

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 275/68, 972/6377?

Answer: LCM of Numerators as per given numbers 275/68, 972/6377 is

LCM of Numerators i.e. for 275,972 is 267300

GCF of denominators i.e. for 68,6377 is 1.

Thus, LCM of Fractions is 267300.Finally, LCM of Fractions for 275/68, 972/6377 is 267300.