Least Common Multiple of 632/66, 214/46, 107/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 632/66, 214/46, 107/502 quickly i.e. 33812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/66, 214/46, 107/502 is 33812.

LCM(632/66, 214/46, 107/502) = 33812

LCM of 632/66, 214/46, 107/502

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 632/66,214/46,107/502

Given numbers are 632/66,214/46,107/502

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 632,214,107

Least Common Multiple of Numerators i.e. LCM of 632,214,107 is 67624.

GCF of Denominators means GCF of 66,46,502 as per the given fractions.

GCF of 66,46,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,214,107

LCM of Fractions 632/66,214/46,107/502 is 33812

2 632, 214, 107
107 316, 107, 107
316, 1, 1

∴ So the LCM of the given numbers is 2 x 107 x 316 x 1 x 1 = 67624

Least Common Multiple of 632,214,107 with GCF Formula

Least Common Multiple of 632,214,107 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 632,214,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,214,107) = 1

common factors(in case of two or more numbers have common factors) = 214

GCF(632,214,107) x common factors =1 x 214 = 214

LCM(632,214,107) = ( 632 × 214 × 107 ) / 214

LCM(632,214,107) = 14471536 / 214

LCM(632,214,107) = 67624


Lets's calculate GCF of 66,46,502

2 66, 46, 502
33, 23, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67624/2

Therefore the LCM of Fractions 632/66,214/46,107/502 is 33812

Greatest Common Factor of 66,46,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,46,502 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 66,46,502 . The biggest common factor number is the GCF number.
So the greatest common factor 66,46,502 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 632/66, 214/46, 107/502

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 632/66, 214/46, 107/502?

Answer: LCM of Numerators as per given numbers 632/66, 214/46, 107/502 is

LCM of Numerators i.e. for 632,214,107 is 67624

GCF of denominators i.e. for 66,46,502 is 2.

Thus, LCM of Fractions is 33812.Finally, LCM of Fractions for 632/66, 214/46, 107/502 is 33812.