Least Common Multiple of 89/807, 87/760, 301/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/807, 87/760, 301/253 quickly i.e. 2330643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/807, 87/760, 301/253 is 2330643.

LCM(89/807, 87/760, 301/253) = 2330643

LCM of 89/807, 87/760, 301/253

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 89/807,87/760,301/253

Given numbers are 89/807,87/760,301/253

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 89,87,301

Least Common Multiple of Numerators i.e. LCM of 89,87,301 is 2330643.

GCF of Denominators means GCF of 807,760,253 as per the given fractions.

GCF of 807,760,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,87,301

LCM of Fractions 89/807,87/760,301/253 is 2330643

Given numbers has no common factors except 1. So, there LCM is their product i.e 2330643

Least Common Multiple of 89,87,301 with GCF Formula

Least Common Multiple of 89,87,301 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 89,87,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,87,301) = 1

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

GCF(89,87,301) x common factors =1 x 1 = 1

LCM(89,87,301) = ( 89 × 87 × 301 ) / 1

LCM(89,87,301) = 2330643 / 1

LCM(89,87,301) = 2330643


Lets's calculate GCF of 807,760,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2330643/1

Therefore the LCM of Fractions 89/807,87/760,301/253 is 2330643

Greatest Common Factor of 807,760,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,760,253 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

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 807,760,253 . The biggest common factor number is the GCF number.
So the greatest common factor 807,760,253 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 89/807, 87/760, 301/253

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 89/807, 87/760, 301/253?

Answer: LCM of Numerators as per given numbers 89/807, 87/760, 301/253 is

LCM of Numerators i.e. for 89,87,301 is 2330643

GCF of denominators i.e. for 807,760,253 is 1.

Thus, LCM of Fractions is 2330643.Finally, LCM of Fractions for 89/807, 87/760, 301/253 is 2330643.