Least Common Multiple of 136/31, 510/1456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/31, 510/1456 quickly i.e. 2040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/31, 510/1456 is 2040.

LCM(136/31, 510/1456) = 2040

LCM of 136/31, 510/1456

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 136/31,510/1456

Given numbers are 136/31,510/1456

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 136,510

Least Common Multiple of Numerators i.e. LCM of 136,510 is 2040.

GCF of Denominators means GCF of 31,1456 as per the given fractions.

GCF of 31,1456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,510

LCM of Fractions 136/31,510/1456 is 2040

2 136, 510
17 68, 255
4, 15

∴ So the LCM of the given numbers is 2 x 17 x 4 x 15 = 2040

Least Common Multiple of 136,510 with GCF Formula

Least Common Multiple of 136,510 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 136,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,510) = 34

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

GCF(136,510) x common factors =34 x 1 = 34

LCM(136,510) = ( 136 × 510 ) / 34

LCM(136,510) = 69360 / 34

LCM(136,510) = 2040


Lets's calculate GCF of 31,1456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2040/1

Therefore the LCM of Fractions 136/31,510/1456 is 2040

Greatest Common Factor of 31,1456 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,1456 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 31,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 31,1456 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 136/31, 510/1456

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 136/31, 510/1456?

Answer: LCM of Numerators as per given numbers 136/31, 510/1456 is

LCM of Numerators i.e. for 136,510 is 2040

GCF of denominators i.e. for 31,1456 is 1.

Thus, LCM of Fractions is 2040.Finally, LCM of Fractions for 136/31, 510/1456 is 2040.