Least Common Multiple of 800/902, 4746/2681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 800/902, 4746/2681 quickly i.e. 1898400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/902, 4746/2681 is 1898400.

LCM(800/902, 4746/2681) = 1898400

LCM of 800/902, 4746/2681

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 800/902,4746/2681

Given numbers are 800/902,4746/2681

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 800,4746

Least Common Multiple of Numerators i.e. LCM of 800,4746 is 1898400.

GCF of Denominators means GCF of 902,2681 as per the given fractions.

GCF of 902,2681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,4746

LCM of Fractions 800/902,4746/2681 is 1898400

2 800, 4746
400, 2373

∴ So the LCM of the given numbers is 2 x 400 x 2373 = 1898400

Least Common Multiple of 800,4746 with GCF Formula

Least Common Multiple of 800,4746 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 800,4746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,4746) = 2

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

GCF(800,4746) x common factors =2 x 1 = 2

LCM(800,4746) = ( 800 × 4746 ) / 2

LCM(800,4746) = 3796800 / 2

LCM(800,4746) = 1898400


Lets's calculate GCF of 902,2681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1898400/1

Therefore the LCM of Fractions 800/902,4746/2681 is 1898400

Greatest Common Factor of 902,2681 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,2681 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 2681

List of positive integer factors of 2681 that divides 2681 without a remainder.

1,7,383,2681

Greatest Common Factor

We found the factors 902,2681 . The biggest common factor number is the GCF number.
So the greatest common factor 902,2681 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 800/902, 4746/2681

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 800/902, 4746/2681?

Answer: LCM of Numerators as per given numbers 800/902, 4746/2681 is

LCM of Numerators i.e. for 800,4746 is 1898400

GCF of denominators i.e. for 902,2681 is 1.

Thus, LCM of Fractions is 1898400.Finally, LCM of Fractions for 800/902, 4746/2681 is 1898400.