Least Common Multiple of 126/56, 812/34, 360/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/56, 812/34, 360/716 quickly i.e. 36540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/56, 812/34, 360/716 is 36540.

LCM(126/56, 812/34, 360/716) = 36540

LCM of 126/56, 812/34, 360/716

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 126/56,812/34,360/716

Given numbers are 126/56,812/34,360/716

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 126,812,360

Least Common Multiple of Numerators i.e. LCM of 126,812,360 is 73080.

GCF of Denominators means GCF of 56,34,716 as per the given fractions.

GCF of 56,34,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,812,360

LCM of Fractions 126/56,812/34,360/716 is 36540

2 126, 812, 360
2 63, 406, 180
3 63, 203, 90
3 21, 203, 30
7 7, 203, 10
1, 29, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 29 x 10 = 73080

Least Common Multiple of 126,812,360 with GCF Formula

Least Common Multiple of 126,812,360 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 126,812,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,812,360) = 2

common factors(in case of two or more numbers have common factors) = 252

GCF(126,812,360) x common factors =2 x 252 = 504

LCM(126,812,360) = ( 126 × 812 × 360 ) / 504

LCM(126,812,360) = 36832320 / 504

LCM(126,812,360) = 73080


Lets's calculate GCF of 56,34,716

2 56, 34, 716
28, 17, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73080/2

Therefore the LCM of Fractions 126/56,812/34,360/716 is 36540

Greatest Common Factor of 56,34,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,34,716 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 56,34,716 . The biggest common factor number is the GCF number.
So the greatest common factor 56,34,716 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 126/56, 812/34, 360/716

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 126/56, 812/34, 360/716?

Answer: LCM of Numerators as per given numbers 126/56, 812/34, 360/716 is

LCM of Numerators i.e. for 126,812,360 is 73080

GCF of denominators i.e. for 56,34,716 is 2.

Thus, LCM of Fractions is 36540.Finally, LCM of Fractions for 126/56, 812/34, 360/716 is 36540.