Least Common Multiple of 275/89, 360/7921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/89, 360/7921 quickly i.e. 19800/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/89, 360/7921 is 19800/89.

LCM(275/89, 360/7921) = 19800/89

LCM of 275/89, 360/7921

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 275/89,360/7921

Given numbers are 275/89,360/7921

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 275,360

Least Common Multiple of Numerators i.e. LCM of 275,360 is 19800.

GCF of Denominators means GCF of 89,7921 as per the given fractions.

GCF of 89,7921 is 89 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,360

LCM of Fractions 275/89,360/7921 is 19800/89

5 275, 360
55, 72

∴ So the LCM of the given numbers is 5 x 55 x 72 = 19800

Least Common Multiple of 275,360 with GCF Formula

Least Common Multiple of 275,360 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 275,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,360) = 5

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

GCF(275,360) x common factors =5 x 1 = 5

LCM(275,360) = ( 275 × 360 ) / 5

LCM(275,360) = 99000 / 5

LCM(275,360) = 19800


Lets's calculate GCF of 89,7921

89 89, 7921
1, 89

∴ So the GCF of the given numbers is 89 = 89

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19800/89

Therefore the LCM of Fractions 275/89,360/7921 is 19800/89

Greatest Common Factor of 89,7921 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,7921 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 7921

List of positive integer factors of 7921 that divides 7921 without a remainder.

1,89,7921

Greatest Common Factor

We found the factors 89,7921 . The biggest common factor number is the GCF number.
So the greatest common factor 89,7921 is 89.


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 275/89, 360/7921

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 275/89, 360/7921?

Answer: LCM of Numerators as per given numbers 275/89, 360/7921 is

LCM of Numerators i.e. for 275,360 is 19800

GCF of denominators i.e. for 89,7921 is 89.

Thus, LCM of Fractions is 19800/89.Finally, LCM of Fractions for 275/89, 360/7921 is 19800/89.