Least Common Multiple of 32/506, 58/997, 634/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/506, 58/997, 634/508 quickly i.e. 294176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/506, 58/997, 634/508 is 294176.

LCM(32/506, 58/997, 634/508) = 294176

LCM of 32/506, 58/997, 634/508

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 32/506,58/997,634/508

Given numbers are 32/506,58/997,634/508

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 32,58,634

Least Common Multiple of Numerators i.e. LCM of 32,58,634 is 294176.

GCF of Denominators means GCF of 506,997,508 as per the given fractions.

GCF of 506,997,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,58,634

LCM of Fractions 32/506,58/997,634/508 is 294176

2 32, 58, 634
16, 29, 317

∴ So the LCM of the given numbers is 2 x 16 x 29 x 317 = 294176

Least Common Multiple of 32,58,634 with GCF Formula

Least Common Multiple of 32,58,634 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 32,58,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,58,634) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(32,58,634) x common factors =2 x 2 = 4

LCM(32,58,634) = ( 32 × 58 × 634 ) / 4

LCM(32,58,634) = 1176704 / 4

LCM(32,58,634) = 294176


Lets's calculate GCF of 506,997,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294176/1

Therefore the LCM of Fractions 32/506,58/997,634/508 is 294176

Greatest Common Factor of 506,997,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,997,508 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 506,997,508 . The biggest common factor number is the GCF number.
So the greatest common factor 506,997,508 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 32/506, 58/997, 634/508

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 32/506, 58/997, 634/508?

Answer: LCM of Numerators as per given numbers 32/506, 58/997, 634/508 is

LCM of Numerators i.e. for 32,58,634 is 294176

GCF of denominators i.e. for 506,997,508 is 1.

Thus, LCM of Fractions is 294176.Finally, LCM of Fractions for 32/506, 58/997, 634/508 is 294176.