Least Common Multiple of 767/575, 2072/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 767/575, 2072/371 quickly i.e. 1589224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/575, 2072/371 is 1589224.

LCM(767/575, 2072/371) = 1589224

LCM of 767/575, 2072/371

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 767/575,2072/371

Given numbers are 767/575,2072/371

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 767,2072

Least Common Multiple of Numerators i.e. LCM of 767,2072 is 1589224.

GCF of Denominators means GCF of 575,371 as per the given fractions.

GCF of 575,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,2072

LCM of Fractions 767/575,2072/371 is 1589224

Given numbers has no common factors except 1. So, there LCM is their product i.e 1589224

Least Common Multiple of 767,2072 with GCF Formula

Least Common Multiple of 767,2072 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 767,2072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,2072) = 1

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

GCF(767,2072) x common factors =1 x 1 = 1

LCM(767,2072) = ( 767 × 2072 ) / 1

LCM(767,2072) = 1589224 / 1

LCM(767,2072) = 1589224


Lets's calculate GCF of 575,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1589224/1

Therefore the LCM of Fractions 767/575,2072/371 is 1589224

Greatest Common Factor of 575,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,371 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 575,371 . The biggest common factor number is the GCF number.
So the greatest common factor 575,371 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 767/575, 2072/371

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 767/575, 2072/371?

Answer: LCM of Numerators as per given numbers 767/575, 2072/371 is

LCM of Numerators i.e. for 767,2072 is 1589224

GCF of denominators i.e. for 575,371 is 1.

Thus, LCM of Fractions is 1589224.Finally, LCM of Fractions for 767/575, 2072/371 is 1589224.