Least Common Multiple of 389/71, 607/7764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 389/71, 607/7764 quickly i.e. 236123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/71, 607/7764 is 236123.

LCM(389/71, 607/7764) = 236123

LCM of 389/71, 607/7764

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 389/71,607/7764

Given numbers are 389/71,607/7764

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 389,607

Least Common Multiple of Numerators i.e. LCM of 389,607 is 236123.

GCF of Denominators means GCF of 71,7764 as per the given fractions.

GCF of 71,7764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,607

LCM of Fractions 389/71,607/7764 is 236123

Given numbers has no common factors except 1. So, there LCM is their product i.e 236123

Least Common Multiple of 389,607 with GCF Formula

Least Common Multiple of 389,607 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 389,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,607) = 1

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

GCF(389,607) x common factors =1 x 1 = 1

LCM(389,607) = ( 389 × 607 ) / 1

LCM(389,607) = 236123 / 1

LCM(389,607) = 236123


Lets's calculate GCF of 71,7764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236123/1

Therefore the LCM of Fractions 389/71,607/7764 is 236123

Greatest Common Factor of 71,7764 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,7764 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1,2,3,4,6,12,647,1294,1941,2588,3882,7764

Greatest Common Factor

We found the factors 71,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 71,7764 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 389/71, 607/7764

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 389/71, 607/7764?

Answer: LCM of Numerators as per given numbers 389/71, 607/7764 is

LCM of Numerators i.e. for 389,607 is 236123

GCF of denominators i.e. for 71,7764 is 1.

Thus, LCM of Fractions is 236123.Finally, LCM of Fractions for 389/71, 607/7764 is 236123.