Least Common Multiple of 56/746, 86/958, 720/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/746, 86/958, 720/778 quickly i.e. 108360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/746, 86/958, 720/778 is 108360.

LCM(56/746, 86/958, 720/778) = 108360

LCM of 56/746, 86/958, 720/778

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 56/746,86/958,720/778

Given numbers are 56/746,86/958,720/778

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 56,86,720

Least Common Multiple of Numerators i.e. LCM of 56,86,720 is 216720.

GCF of Denominators means GCF of 746,958,778 as per the given fractions.

GCF of 746,958,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,86,720

LCM of Fractions 56/746,86/958,720/778 is 108360

2 56, 86, 720
2 28, 43, 360
2 14, 43, 180
7, 43, 90

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 43 x 90 = 216720

Least Common Multiple of 56,86,720 with GCF Formula

Least Common Multiple of 56,86,720 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 56,86,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,86,720) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(56,86,720) x common factors =2 x 8 = 16

LCM(56,86,720) = ( 56 × 86 × 720 ) / 16

LCM(56,86,720) = 3467520 / 16

LCM(56,86,720) = 216720


Lets's calculate GCF of 746,958,778

2 746, 958, 778
373, 479, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216720/2

Therefore the LCM of Fractions 56/746,86/958,720/778 is 108360

Greatest Common Factor of 746,958,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,958,778 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 746,958,778 . The biggest common factor number is the GCF number.
So the greatest common factor 746,958,778 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 56/746, 86/958, 720/778

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 56/746, 86/958, 720/778?

Answer: LCM of Numerators as per given numbers 56/746, 86/958, 720/778 is

LCM of Numerators i.e. for 56,86,720 is 216720

GCF of denominators i.e. for 746,958,778 is 2.

Thus, LCM of Fractions is 108360.Finally, LCM of Fractions for 56/746, 86/958, 720/778 is 108360.