Least Common Multiple of 61/762, 8504/3745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/762, 8504/3745 quickly i.e. 518744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/762, 8504/3745 is 518744.

LCM(61/762, 8504/3745) = 518744

LCM of 61/762, 8504/3745

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 61/762,8504/3745

Given numbers are 61/762,8504/3745

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 61,8504

Least Common Multiple of Numerators i.e. LCM of 61,8504 is 518744.

GCF of Denominators means GCF of 762,3745 as per the given fractions.

GCF of 762,3745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,8504

LCM of Fractions 61/762,8504/3745 is 518744

Given numbers has no common factors except 1. So, there LCM is their product i.e 518744

Least Common Multiple of 61,8504 with GCF Formula

Least Common Multiple of 61,8504 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 61,8504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,8504) = 1

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

GCF(61,8504) x common factors =1 x 1 = 1

LCM(61,8504) = ( 61 × 8504 ) / 1

LCM(61,8504) = 518744 / 1

LCM(61,8504) = 518744


Lets's calculate GCF of 762,3745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518744/1

Therefore the LCM of Fractions 61/762,8504/3745 is 518744

Greatest Common Factor of 762,3745 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,3745 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 3745

List of positive integer factors of 3745 that divides 3745 without a remainder.

1,5,7,35,107,535,749,3745

Greatest Common Factor

We found the factors 762,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 762,3745 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 61/762, 8504/3745

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 61/762, 8504/3745?

Answer: LCM of Numerators as per given numbers 61/762, 8504/3745 is

LCM of Numerators i.e. for 61,8504 is 518744

GCF of denominators i.e. for 762,3745 is 1.

Thus, LCM of Fractions is 518744.Finally, LCM of Fractions for 61/762, 8504/3745 is 518744.