Least Common Multiple of 846/180, 736/451, 340/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 846/180, 736/451, 340/116 quickly i.e. 26462880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/180, 736/451, 340/116 is 26462880.

LCM(846/180, 736/451, 340/116) = 26462880

LCM of 846/180, 736/451, 340/116

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 846/180,736/451,340/116

Given numbers are 846/180,736/451,340/116

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 846,736,340

Least Common Multiple of Numerators i.e. LCM of 846,736,340 is 26462880.

GCF of Denominators means GCF of 180,451,116 as per the given fractions.

GCF of 180,451,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,736,340

LCM of Fractions 846/180,736/451,340/116 is 26462880

2 846, 736, 340
2 423, 368, 170
423, 184, 85

∴ So the LCM of the given numbers is 2 x 2 x 423 x 184 x 85 = 26462880

Least Common Multiple of 846,736,340 with GCF Formula

Least Common Multiple of 846,736,340 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 846,736,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,736,340) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(846,736,340) x common factors =2 x 4 = 8

LCM(846,736,340) = ( 846 × 736 × 340 ) / 8

LCM(846,736,340) = 211703040 / 8

LCM(846,736,340) = 26462880


Lets's calculate GCF of 180,451,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26462880/1

Therefore the LCM of Fractions 846/180,736/451,340/116 is 26462880

Greatest Common Factor of 180,451,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,451,116 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 180,451,116 . The biggest common factor number is the GCF number.
So the greatest common factor 180,451,116 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 846/180, 736/451, 340/116

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 846/180, 736/451, 340/116?

Answer: LCM of Numerators as per given numbers 846/180, 736/451, 340/116 is

LCM of Numerators i.e. for 846,736,340 is 26462880

GCF of denominators i.e. for 180,451,116 is 1.

Thus, LCM of Fractions is 26462880.Finally, LCM of Fractions for 846/180, 736/451, 340/116 is 26462880.