Least Common Multiple of 22/377, 31/947, 512/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/377, 31/947, 512/270 quickly i.e. 174592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/377, 31/947, 512/270 is 174592.

LCM(22/377, 31/947, 512/270) = 174592

LCM of 22/377, 31/947, 512/270

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 22/377,31/947,512/270

Given numbers are 22/377,31/947,512/270

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 22,31,512

Least Common Multiple of Numerators i.e. LCM of 22,31,512 is 174592.

GCF of Denominators means GCF of 377,947,270 as per the given fractions.

GCF of 377,947,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,31,512

LCM of Fractions 22/377,31/947,512/270 is 174592

2 22, 31, 512
11, 31, 256

∴ So the LCM of the given numbers is 2 x 11 x 31 x 256 = 174592

Least Common Multiple of 22,31,512 with GCF Formula

Least Common Multiple of 22,31,512 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 22,31,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,31,512) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,31,512) x common factors =1 x 2 = 2

LCM(22,31,512) = ( 22 × 31 × 512 ) / 2

LCM(22,31,512) = 349184 / 2

LCM(22,31,512) = 174592


Lets's calculate GCF of 377,947,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174592/1

Therefore the LCM of Fractions 22/377,31/947,512/270 is 174592

Greatest Common Factor of 377,947,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,947,270 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 377,947,270 . The biggest common factor number is the GCF number.
So the greatest common factor 377,947,270 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 22/377, 31/947, 512/270

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 22/377, 31/947, 512/270?

Answer: LCM of Numerators as per given numbers 22/377, 31/947, 512/270 is

LCM of Numerators i.e. for 22,31,512 is 174592

GCF of denominators i.e. for 377,947,270 is 1.

Thus, LCM of Fractions is 174592.Finally, LCM of Fractions for 22/377, 31/947, 512/270 is 174592.