Least Common Multiple of 634/38, 684/8852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/38, 684/8852 quickly i.e. 108414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/38, 684/8852 is 108414.

LCM(634/38, 684/8852) = 108414

LCM of 634/38, 684/8852

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 634/38,684/8852

Given numbers are 634/38,684/8852

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 634,684

Least Common Multiple of Numerators i.e. LCM of 634,684 is 216828.

GCF of Denominators means GCF of 38,8852 as per the given fractions.

GCF of 38,8852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,684

LCM of Fractions 634/38,684/8852 is 108414

2 634, 684
317, 342

∴ So the LCM of the given numbers is 2 x 317 x 342 = 216828

Least Common Multiple of 634,684 with GCF Formula

Least Common Multiple of 634,684 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 634,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,684) = 2

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

GCF(634,684) x common factors =2 x 1 = 2

LCM(634,684) = ( 634 × 684 ) / 2

LCM(634,684) = 433656 / 2

LCM(634,684) = 216828


Lets's calculate GCF of 38,8852

2 38, 8852
19, 4426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216828/2

Therefore the LCM of Fractions 634/38,684/8852 is 108414

Greatest Common Factor of 38,8852 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,8852 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 8852

List of positive integer factors of 8852 that divides 8852 without a remainder.

1,2,4,2213,4426,8852

Greatest Common Factor

We found the factors 38,8852 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8852 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 634/38, 684/8852

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 634/38, 684/8852?

Answer: LCM of Numerators as per given numbers 634/38, 684/8852 is

LCM of Numerators i.e. for 634,684 is 216828

GCF of denominators i.e. for 38,8852 is 2.

Thus, LCM of Fractions is 108414.Finally, LCM of Fractions for 634/38, 684/8852 is 108414.