Least Common Multiple of 456/992, 511/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/992, 511/279 quickly i.e. 233016/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/992, 511/279 is 233016/31.

LCM(456/992, 511/279) = 233016/31

LCM of 456/992, 511/279

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 456/992,511/279

Given numbers are 456/992,511/279

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 456,511

Least Common Multiple of Numerators i.e. LCM of 456,511 is 233016.

GCF of Denominators means GCF of 992,279 as per the given fractions.

GCF of 992,279 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,511

LCM of Fractions 456/992,511/279 is 233016/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 233016

Least Common Multiple of 456,511 with GCF Formula

Least Common Multiple of 456,511 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 456,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,511) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(456,511) x common factors =1 x 1 = 1

LCM(456,511) = ( 456 × 511 ) / 1

LCM(456,511) = 233016 / 1

LCM(456,511) = 233016


Lets's calculate GCF of 992,279

31 992, 279
32, 9

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233016/31

Therefore the LCM of Fractions 456/992,511/279 is 233016/31

Greatest Common Factor of 992,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,279 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 992,279 . The biggest common factor number is the GCF number.
So the greatest common factor 992,279 is 31.


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 456/992, 511/279

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 456/992, 511/279?

Answer: LCM of Numerators as per given numbers 456/992, 511/279 is

LCM of Numerators i.e. for 456,511 is 233016

GCF of denominators i.e. for 992,279 is 31.

Thus, LCM of Fractions is 233016/31.Finally, LCM of Fractions for 456/992, 511/279 is 233016/31.