Least Common Multiple of 460/161, 707/389, 772/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/161, 707/389, 772/333 quickly i.e. 62767460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/161, 707/389, 772/333 is 62767460.

LCM(460/161, 707/389, 772/333) = 62767460

LCM of 460/161, 707/389, 772/333

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 460/161,707/389,772/333

Given numbers are 460/161,707/389,772/333

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 460,707,772

Least Common Multiple of Numerators i.e. LCM of 460,707,772 is 62767460.

GCF of Denominators means GCF of 161,389,333 as per the given fractions.

GCF of 161,389,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,707,772

LCM of Fractions 460/161,707/389,772/333 is 62767460

2 460, 707, 772
2 230, 707, 386
115, 707, 193

∴ So the LCM of the given numbers is 2 x 2 x 115 x 707 x 193 = 62767460

Least Common Multiple of 460,707,772 with GCF Formula

Least Common Multiple of 460,707,772 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 460,707,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,707,772) = 1

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

GCF(460,707,772) x common factors =1 x 4 = 4

LCM(460,707,772) = ( 460 × 707 × 772 ) / 4

LCM(460,707,772) = 251069840 / 4

LCM(460,707,772) = 62767460


Lets's calculate GCF of 161,389,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62767460/1

Therefore the LCM of Fractions 460/161,707/389,772/333 is 62767460

Greatest Common Factor of 161,389,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,389,333 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 161,389,333 . The biggest common factor number is the GCF number.
So the greatest common factor 161,389,333 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 460/161, 707/389, 772/333

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 460/161, 707/389, 772/333?

Answer: LCM of Numerators as per given numbers 460/161, 707/389, 772/333 is

LCM of Numerators i.e. for 460,707,772 is 62767460

GCF of denominators i.e. for 161,389,333 is 1.

Thus, LCM of Fractions is 62767460.Finally, LCM of Fractions for 460/161, 707/389, 772/333 is 62767460.