Least Common Multiple of 862/71, 853/3677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 862/71, 853/3677 quickly i.e. 735286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/71, 853/3677 is 735286.

LCM(862/71, 853/3677) = 735286

LCM of 862/71, 853/3677

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 862/71,853/3677

Given numbers are 862/71,853/3677

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 862,853

Least Common Multiple of Numerators i.e. LCM of 862,853 is 735286.

GCF of Denominators means GCF of 71,3677 as per the given fractions.

GCF of 71,3677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,853

LCM of Fractions 862/71,853/3677 is 735286

Given numbers has no common factors except 1. So, there LCM is their product i.e 735286

Least Common Multiple of 862,853 with GCF Formula

Least Common Multiple of 862,853 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 862,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,853) = 1

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

GCF(862,853) x common factors =1 x 1 = 1

LCM(862,853) = ( 862 × 853 ) / 1

LCM(862,853) = 735286 / 1

LCM(862,853) = 735286


Lets's calculate GCF of 71,3677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735286/1

Therefore the LCM of Fractions 862/71,853/3677 is 735286

Greatest Common Factor of 71,3677 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3677 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 3677

List of positive integer factors of 3677 that divides 3677 without a remainder.

1,3677

Greatest Common Factor

We found the factors 71,3677 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3677 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 862/71, 853/3677

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 862/71, 853/3677?

Answer: LCM of Numerators as per given numbers 862/71, 853/3677 is

LCM of Numerators i.e. for 862,853 is 735286

GCF of denominators i.e. for 71,3677 is 1.

Thus, LCM of Fractions is 735286.Finally, LCM of Fractions for 862/71, 853/3677 is 735286.