Least Common Multiple of 920/139, 312/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/139, 312/225 quickly i.e. 35880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/139, 312/225 is 35880.

LCM(920/139, 312/225) = 35880

LCM of 920/139, 312/225

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 920/139,312/225

Given numbers are 920/139,312/225

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 920,312

Least Common Multiple of Numerators i.e. LCM of 920,312 is 35880.

GCF of Denominators means GCF of 139,225 as per the given fractions.

GCF of 139,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,312

LCM of Fractions 920/139,312/225 is 35880

2 920, 312
2 460, 156
2 230, 78
115, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 115 x 39 = 35880

Least Common Multiple of 920,312 with GCF Formula

Least Common Multiple of 920,312 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 920,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,312) = 8

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

GCF(920,312) x common factors =8 x 1 = 8

LCM(920,312) = ( 920 × 312 ) / 8

LCM(920,312) = 287040 / 8

LCM(920,312) = 35880


Lets's calculate GCF of 139,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35880/1

Therefore the LCM of Fractions 920/139,312/225 is 35880

Greatest Common Factor of 139,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,225 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 139,225 . The biggest common factor number is the GCF number.
So the greatest common factor 139,225 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 920/139, 312/225

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 920/139, 312/225?

Answer: LCM of Numerators as per given numbers 920/139, 312/225 is

LCM of Numerators i.e. for 920,312 is 35880

GCF of denominators i.e. for 139,225 is 1.

Thus, LCM of Fractions is 35880.Finally, LCM of Fractions for 920/139, 312/225 is 35880.