Least Common Multiple of 278/843, 400/659, 407/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/843, 400/659, 407/788 quickly i.e. 22629200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/843, 400/659, 407/788 is 22629200.

LCM(278/843, 400/659, 407/788) = 22629200

LCM of 278/843, 400/659, 407/788

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 278/843,400/659,407/788

Given numbers are 278/843,400/659,407/788

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 278,400,407

Least Common Multiple of Numerators i.e. LCM of 278,400,407 is 22629200.

GCF of Denominators means GCF of 843,659,788 as per the given fractions.

GCF of 843,659,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,400,407

LCM of Fractions 278/843,400/659,407/788 is 22629200

2 278, 400, 407
139, 200, 407

∴ So the LCM of the given numbers is 2 x 139 x 200 x 407 = 22629200

Least Common Multiple of 278,400,407 with GCF Formula

Least Common Multiple of 278,400,407 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 278,400,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,400,407) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(278,400,407) x common factors =1 x 2 = 2

LCM(278,400,407) = ( 278 × 400 × 407 ) / 2

LCM(278,400,407) = 45258400 / 2

LCM(278,400,407) = 22629200


Lets's calculate GCF of 843,659,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22629200/1

Therefore the LCM of Fractions 278/843,400/659,407/788 is 22629200

Greatest Common Factor of 843,659,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,659,788 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 843,659,788 . The biggest common factor number is the GCF number.
So the greatest common factor 843,659,788 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 278/843, 400/659, 407/788

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 278/843, 400/659, 407/788?

Answer: LCM of Numerators as per given numbers 278/843, 400/659, 407/788 is

LCM of Numerators i.e. for 278,400,407 is 22629200

GCF of denominators i.e. for 843,659,788 is 1.

Thus, LCM of Fractions is 22629200.Finally, LCM of Fractions for 278/843, 400/659, 407/788 is 22629200.