Least Common Multiple of 772/46, 611/76, 256/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/46, 611/76, 256/828 quickly i.e. 15094144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/46, 611/76, 256/828 is 15094144.

LCM(772/46, 611/76, 256/828) = 15094144

LCM of 772/46, 611/76, 256/828

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 772/46,611/76,256/828

Given numbers are 772/46,611/76,256/828

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 772,611,256

Least Common Multiple of Numerators i.e. LCM of 772,611,256 is 30188288.

GCF of Denominators means GCF of 46,76,828 as per the given fractions.

GCF of 46,76,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,611,256

LCM of Fractions 772/46,611/76,256/828 is 15094144

2 772, 611, 256
2 386, 611, 128
193, 611, 64

∴ So the LCM of the given numbers is 2 x 2 x 193 x 611 x 64 = 30188288

Least Common Multiple of 772,611,256 with GCF Formula

Least Common Multiple of 772,611,256 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 772,611,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,611,256) = 1

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

GCF(772,611,256) x common factors =1 x 4 = 4

LCM(772,611,256) = ( 772 × 611 × 256 ) / 4

LCM(772,611,256) = 120753152 / 4

LCM(772,611,256) = 30188288


Lets's calculate GCF of 46,76,828

2 46, 76, 828
23, 38, 414

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30188288/2

Therefore the LCM of Fractions 772/46,611/76,256/828 is 15094144

Greatest Common Factor of 46,76,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,76,828 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 46,76,828 . The biggest common factor number is the GCF number.
So the greatest common factor 46,76,828 is 2.


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 772/46, 611/76, 256/828

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 772/46, 611/76, 256/828?

Answer: LCM of Numerators as per given numbers 772/46, 611/76, 256/828 is

LCM of Numerators i.e. for 772,611,256 is 30188288

GCF of denominators i.e. for 46,76,828 is 2.

Thus, LCM of Fractions is 15094144.Finally, LCM of Fractions for 772/46, 611/76, 256/828 is 15094144.