Least Common Multiple of 74/315, 78/240, 952/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/315, 78/240, 952/734 quickly i.e. 1373736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/315, 78/240, 952/734 is 1373736.

LCM(74/315, 78/240, 952/734) = 1373736

LCM of 74/315, 78/240, 952/734

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 74/315,78/240,952/734

Given numbers are 74/315,78/240,952/734

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 74,78,952

Least Common Multiple of Numerators i.e. LCM of 74,78,952 is 1373736.

GCF of Denominators means GCF of 315,240,734 as per the given fractions.

GCF of 315,240,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,78,952

LCM of Fractions 74/315,78/240,952/734 is 1373736

2 74, 78, 952
37, 39, 476

∴ So the LCM of the given numbers is 2 x 37 x 39 x 476 = 1373736

Least Common Multiple of 74,78,952 with GCF Formula

Least Common Multiple of 74,78,952 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 74,78,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,78,952) = 2

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

GCF(74,78,952) x common factors =2 x 2 = 4

LCM(74,78,952) = ( 74 × 78 × 952 ) / 4

LCM(74,78,952) = 5494944 / 4

LCM(74,78,952) = 1373736


Lets's calculate GCF of 315,240,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1373736/1

Therefore the LCM of Fractions 74/315,78/240,952/734 is 1373736

Greatest Common Factor of 315,240,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,240,734 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 315,240,734 . The biggest common factor number is the GCF number.
So the greatest common factor 315,240,734 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 74/315, 78/240, 952/734

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 74/315, 78/240, 952/734?

Answer: LCM of Numerators as per given numbers 74/315, 78/240, 952/734 is

LCM of Numerators i.e. for 74,78,952 is 1373736

GCF of denominators i.e. for 315,240,734 is 1.

Thus, LCM of Fractions is 1373736.Finally, LCM of Fractions for 74/315, 78/240, 952/734 is 1373736.