Least Common Multiple of 816/78, 632/2735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/78, 632/2735 quickly i.e. 64464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/78, 632/2735 is 64464.

LCM(816/78, 632/2735) = 64464

LCM of 816/78, 632/2735

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 816/78,632/2735

Given numbers are 816/78,632/2735

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 816,632

Least Common Multiple of Numerators i.e. LCM of 816,632 is 64464.

GCF of Denominators means GCF of 78,2735 as per the given fractions.

GCF of 78,2735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,632

LCM of Fractions 816/78,632/2735 is 64464

2 816, 632
2 408, 316
2 204, 158
102, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 102 x 79 = 64464

Least Common Multiple of 816,632 with GCF Formula

Least Common Multiple of 816,632 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 816,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,632) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(816,632) x common factors =8 x 1 = 8

LCM(816,632) = ( 816 × 632 ) / 8

LCM(816,632) = 515712 / 8

LCM(816,632) = 64464


Lets's calculate GCF of 78,2735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64464/1

Therefore the LCM of Fractions 816/78,632/2735 is 64464

Greatest Common Factor of 78,2735 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2735 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 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1,5,547,2735

Greatest Common Factor

We found the factors 78,2735 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2735 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 816/78, 632/2735

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 816/78, 632/2735?

Answer: LCM of Numerators as per given numbers 816/78, 632/2735 is

LCM of Numerators i.e. for 816,632 is 64464

GCF of denominators i.e. for 78,2735 is 1.

Thus, LCM of Fractions is 64464.Finally, LCM of Fractions for 816/78, 632/2735 is 64464.