Least Common Multiple of 388/723, 701/256, 460/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/723, 701/256, 460/767 quickly i.e. 31278620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/723, 701/256, 460/767 is 31278620.

LCM(388/723, 701/256, 460/767) = 31278620

LCM of 388/723, 701/256, 460/767

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 388/723,701/256,460/767

Given numbers are 388/723,701/256,460/767

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 388,701,460

Least Common Multiple of Numerators i.e. LCM of 388,701,460 is 31278620.

GCF of Denominators means GCF of 723,256,767 as per the given fractions.

GCF of 723,256,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,701,460

LCM of Fractions 388/723,701/256,460/767 is 31278620

2 388, 701, 460
2 194, 701, 230
97, 701, 115

∴ So the LCM of the given numbers is 2 x 2 x 97 x 701 x 115 = 31278620

Least Common Multiple of 388,701,460 with GCF Formula

Least Common Multiple of 388,701,460 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 388,701,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,701,460) = 1

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

GCF(388,701,460) x common factors =1 x 4 = 4

LCM(388,701,460) = ( 388 × 701 × 460 ) / 4

LCM(388,701,460) = 125114480 / 4

LCM(388,701,460) = 31278620


Lets's calculate GCF of 723,256,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31278620/1

Therefore the LCM of Fractions 388/723,701/256,460/767 is 31278620

Greatest Common Factor of 723,256,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,256,767 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 723,256,767 . The biggest common factor number is the GCF number.
So the greatest common factor 723,256,767 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 388/723, 701/256, 460/767

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 388/723, 701/256, 460/767?

Answer: LCM of Numerators as per given numbers 388/723, 701/256, 460/767 is

LCM of Numerators i.e. for 388,701,460 is 31278620

GCF of denominators i.e. for 723,256,767 is 1.

Thus, LCM of Fractions is 31278620.Finally, LCM of Fractions for 388/723, 701/256, 460/767 is 31278620.