Least Common Multiple of 288/715, 1474/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/715, 1474/922 quickly i.e. 212256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/715, 1474/922 is 212256.

LCM(288/715, 1474/922) = 212256

LCM of 288/715, 1474/922

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 288/715,1474/922

Given numbers are 288/715,1474/922

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 288,1474

Least Common Multiple of Numerators i.e. LCM of 288,1474 is 212256.

GCF of Denominators means GCF of 715,922 as per the given fractions.

GCF of 715,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,1474

LCM of Fractions 288/715,1474/922 is 212256

2 288, 1474
144, 737

∴ So the LCM of the given numbers is 2 x 144 x 737 = 212256

Least Common Multiple of 288,1474 with GCF Formula

Least Common Multiple of 288,1474 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 288,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,1474) = 2

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

GCF(288,1474) x common factors =2 x 1 = 2

LCM(288,1474) = ( 288 × 1474 ) / 2

LCM(288,1474) = 424512 / 2

LCM(288,1474) = 212256


Lets's calculate GCF of 715,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212256/1

Therefore the LCM of Fractions 288/715,1474/922 is 212256

Greatest Common Factor of 715,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,922 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 715,922 . The biggest common factor number is the GCF number.
So the greatest common factor 715,922 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 288/715, 1474/922

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 288/715, 1474/922?

Answer: LCM of Numerators as per given numbers 288/715, 1474/922 is

LCM of Numerators i.e. for 288,1474 is 212256

GCF of denominators i.e. for 715,922 is 1.

Thus, LCM of Fractions is 212256.Finally, LCM of Fractions for 288/715, 1474/922 is 212256.