Least Common Multiple of 636/678, 3462/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/678, 3462/632 quickly i.e. 183486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/678, 3462/632 is 183486.

LCM(636/678, 3462/632) = 183486

LCM of 636/678, 3462/632

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 636/678,3462/632

Given numbers are 636/678,3462/632

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 636,3462

Least Common Multiple of Numerators i.e. LCM of 636,3462 is 366972.

GCF of Denominators means GCF of 678,632 as per the given fractions.

GCF of 678,632 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,3462

LCM of Fractions 636/678,3462/632 is 183486

2 636, 3462
3 318, 1731
106, 577

∴ So the LCM of the given numbers is 2 x 3 x 106 x 577 = 366972

Least Common Multiple of 636,3462 with GCF Formula

Least Common Multiple of 636,3462 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 636,3462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,3462) = 6

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

GCF(636,3462) x common factors =6 x 1 = 6

LCM(636,3462) = ( 636 × 3462 ) / 6

LCM(636,3462) = 2201832 / 6

LCM(636,3462) = 366972


Lets's calculate GCF of 678,632

2 678, 632
339, 316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366972/2

Therefore the LCM of Fractions 636/678,3462/632 is 183486

Greatest Common Factor of 678,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,632 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 678,632 . The biggest common factor number is the GCF number.
So the greatest common factor 678,632 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 636/678, 3462/632

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 636/678, 3462/632?

Answer: LCM of Numerators as per given numbers 636/678, 3462/632 is

LCM of Numerators i.e. for 636,3462 is 366972

GCF of denominators i.e. for 678,632 is 2.

Thus, LCM of Fractions is 183486.Finally, LCM of Fractions for 636/678, 3462/632 is 183486.