Least Common Multiple of 615/78, 364/40, 378/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/78, 364/40, 378/834 quickly i.e. 1007370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/78, 364/40, 378/834 is 1007370.

LCM(615/78, 364/40, 378/834) = 1007370

LCM of 615/78, 364/40, 378/834

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 615/78,364/40,378/834

Given numbers are 615/78,364/40,378/834

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 615,364,378

Least Common Multiple of Numerators i.e. LCM of 615,364,378 is 2014740.

GCF of Denominators means GCF of 78,40,834 as per the given fractions.

GCF of 78,40,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,364,378

LCM of Fractions 615/78,364/40,378/834 is 1007370

2 615, 364, 378
3 615, 182, 189
7 205, 182, 63
205, 26, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 205 x 26 x 9 = 2014740

Least Common Multiple of 615,364,378 with GCF Formula

Least Common Multiple of 615,364,378 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 615,364,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,364,378) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(615,364,378) x common factors =1 x 42 = 42

LCM(615,364,378) = ( 615 × 364 × 378 ) / 42

LCM(615,364,378) = 84619080 / 42

LCM(615,364,378) = 2014740


Lets's calculate GCF of 78,40,834

2 78, 40, 834
39, 20, 417

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2014740/2

Therefore the LCM of Fractions 615/78,364/40,378/834 is 1007370

Greatest Common Factor of 78,40,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,40,834 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 78,40,834 . The biggest common factor number is the GCF number.
So the greatest common factor 78,40,834 is 2.


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 615/78, 364/40, 378/834

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 615/78, 364/40, 378/834?

Answer: LCM of Numerators as per given numbers 615/78, 364/40, 378/834 is

LCM of Numerators i.e. for 615,364,378 is 2014740

GCF of denominators i.e. for 78,40,834 is 2.

Thus, LCM of Fractions is 1007370.Finally, LCM of Fractions for 615/78, 364/40, 378/834 is 1007370.