Least Common Multiple of 700/863, 727/125, 544/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/863, 727/125, 544/323 quickly i.e. 69210400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/863, 727/125, 544/323 is 69210400.

LCM(700/863, 727/125, 544/323) = 69210400

LCM of 700/863, 727/125, 544/323

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 700/863,727/125,544/323

Given numbers are 700/863,727/125,544/323

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 700,727,544

Least Common Multiple of Numerators i.e. LCM of 700,727,544 is 69210400.

GCF of Denominators means GCF of 863,125,323 as per the given fractions.

GCF of 863,125,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,727,544

LCM of Fractions 700/863,727/125,544/323 is 69210400

2 700, 727, 544
2 350, 727, 272
175, 727, 136

∴ So the LCM of the given numbers is 2 x 2 x 175 x 727 x 136 = 69210400

Least Common Multiple of 700,727,544 with GCF Formula

Least Common Multiple of 700,727,544 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 700,727,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,727,544) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(700,727,544) x common factors =1 x 4 = 4

LCM(700,727,544) = ( 700 × 727 × 544 ) / 4

LCM(700,727,544) = 276841600 / 4

LCM(700,727,544) = 69210400


Lets's calculate GCF of 863,125,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69210400/1

Therefore the LCM of Fractions 700/863,727/125,544/323 is 69210400

Greatest Common Factor of 863,125,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,125,323 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 863,125,323 . The biggest common factor number is the GCF number.
So the greatest common factor 863,125,323 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 700/863, 727/125, 544/323

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 700/863, 727/125, 544/323?

Answer: LCM of Numerators as per given numbers 700/863, 727/125, 544/323 is

LCM of Numerators i.e. for 700,727,544 is 69210400

GCF of denominators i.e. for 863,125,323 is 1.

Thus, LCM of Fractions is 69210400.Finally, LCM of Fractions for 700/863, 727/125, 544/323 is 69210400.