Least Common Multiple of 45/312, 79/215, 282/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/312, 79/215, 282/874 quickly i.e. 334170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/312, 79/215, 282/874 is 334170.

LCM(45/312, 79/215, 282/874) = 334170

LCM of 45/312, 79/215, 282/874

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 45/312,79/215,282/874

Given numbers are 45/312,79/215,282/874

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 45,79,282

Least Common Multiple of Numerators i.e. LCM of 45,79,282 is 334170.

GCF of Denominators means GCF of 312,215,874 as per the given fractions.

GCF of 312,215,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,79,282

LCM of Fractions 45/312,79/215,282/874 is 334170

3 45, 79, 282
15, 79, 94

∴ So the LCM of the given numbers is 3 x 15 x 79 x 94 = 334170

Least Common Multiple of 45,79,282 with GCF Formula

Least Common Multiple of 45,79,282 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 45,79,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,79,282) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,79,282) x common factors =1 x 3 = 3

LCM(45,79,282) = ( 45 × 79 × 282 ) / 3

LCM(45,79,282) = 1002510 / 3

LCM(45,79,282) = 334170


Lets's calculate GCF of 312,215,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334170/1

Therefore the LCM of Fractions 45/312,79/215,282/874 is 334170

Greatest Common Factor of 312,215,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,215,874 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 312,215,874 . The biggest common factor number is the GCF number.
So the greatest common factor 312,215,874 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 45/312, 79/215, 282/874

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 45/312, 79/215, 282/874?

Answer: LCM of Numerators as per given numbers 45/312, 79/215, 282/874 is

LCM of Numerators i.e. for 45,79,282 is 334170

GCF of denominators i.e. for 312,215,874 is 1.

Thus, LCM of Fractions is 334170.Finally, LCM of Fractions for 45/312, 79/215, 282/874 is 334170.