Least Common Multiple of 36/682, 88/656, 864/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/682, 88/656, 864/758 quickly i.e. 4752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/682, 88/656, 864/758 is 4752.

LCM(36/682, 88/656, 864/758) = 4752

LCM of 36/682, 88/656, 864/758

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 36/682,88/656,864/758

Given numbers are 36/682,88/656,864/758

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 36,88,864

Least Common Multiple of Numerators i.e. LCM of 36,88,864 is 9504.

GCF of Denominators means GCF of 682,656,758 as per the given fractions.

GCF of 682,656,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,88,864

LCM of Fractions 36/682,88/656,864/758 is 4752

2 36, 88, 864
2 18, 44, 432
2 9, 22, 216
3 9, 11, 108
3 3, 11, 36
1, 11, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 11 x 12 = 9504

Least Common Multiple of 36,88,864 with GCF Formula

Least Common Multiple of 36,88,864 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 36,88,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,88,864) = 4

common factors(in case of two or more numbers have common factors) = 72

GCF(36,88,864) x common factors =4 x 72 = 288

LCM(36,88,864) = ( 36 × 88 × 864 ) / 288

LCM(36,88,864) = 2737152 / 288

LCM(36,88,864) = 9504


Lets's calculate GCF of 682,656,758

2 682, 656, 758
341, 328, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9504/2

Therefore the LCM of Fractions 36/682,88/656,864/758 is 4752

Greatest Common Factor of 682,656,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,656,758 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 682,656,758 . The biggest common factor number is the GCF number.
So the greatest common factor 682,656,758 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 36/682, 88/656, 864/758

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 36/682, 88/656, 864/758?

Answer: LCM of Numerators as per given numbers 36/682, 88/656, 864/758 is

LCM of Numerators i.e. for 36,88,864 is 9504

GCF of denominators i.e. for 682,656,758 is 2.

Thus, LCM of Fractions is 4752.Finally, LCM of Fractions for 36/682, 88/656, 864/758 is 4752.