Least Common Multiple of 734/78, 870/18, 851/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/78, 870/18, 851/40 quickly i.e. 135857895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/78, 870/18, 851/40 is 135857895.

LCM(734/78, 870/18, 851/40) = 135857895

LCM of 734/78, 870/18, 851/40

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 734/78,870/18,851/40

Given numbers are 734/78,870/18,851/40

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 734,870,851

Least Common Multiple of Numerators i.e. LCM of 734,870,851 is 271715790.

GCF of Denominators means GCF of 78,18,40 as per the given fractions.

GCF of 78,18,40 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,870,851

LCM of Fractions 734/78,870/18,851/40 is 135857895

2 734, 870, 851
367, 435, 851

∴ So the LCM of the given numbers is 2 x 367 x 435 x 851 = 271715790

Least Common Multiple of 734,870,851 with GCF Formula

Least Common Multiple of 734,870,851 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 734,870,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,870,851) = 1

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

GCF(734,870,851) x common factors =1 x 2 = 2

LCM(734,870,851) = ( 734 × 870 × 851 ) / 2

LCM(734,870,851) = 543431580 / 2

LCM(734,870,851) = 271715790


Lets's calculate GCF of 78,18,40

2 78, 18, 40
39, 9, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271715790/2

Therefore the LCM of Fractions 734/78,870/18,851/40 is 135857895

Greatest Common Factor of 78,18,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,18,40 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 40

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

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

Greatest Common Factor

We found the factors 78,18,40 . The biggest common factor number is the GCF number.
So the greatest common factor 78,18,40 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 734/78, 870/18, 851/40

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 734/78, 870/18, 851/40?

Answer: LCM of Numerators as per given numbers 734/78, 870/18, 851/40 is

LCM of Numerators i.e. for 734,870,851 is 271715790

GCF of denominators i.e. for 78,18,40 is 2.

Thus, LCM of Fractions is 135857895.Finally, LCM of Fractions for 734/78, 870/18, 851/40 is 135857895.