Least Common Multiple of 46/245, 79/131, 506/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/245, 79/131, 506/135 quickly i.e. 39974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/245, 79/131, 506/135 is 39974.

LCM(46/245, 79/131, 506/135) = 39974

LCM of 46/245, 79/131, 506/135

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 46/245,79/131,506/135

Given numbers are 46/245,79/131,506/135

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 46,79,506

Least Common Multiple of Numerators i.e. LCM of 46,79,506 is 39974.

GCF of Denominators means GCF of 245,131,135 as per the given fractions.

GCF of 245,131,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,79,506

LCM of Fractions 46/245,79/131,506/135 is 39974

2 46, 79, 506
23 23, 79, 253
1, 79, 11

∴ So the LCM of the given numbers is 2 x 23 x 1 x 79 x 11 = 39974

Least Common Multiple of 46,79,506 with GCF Formula

Least Common Multiple of 46,79,506 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 46,79,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,79,506) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(46,79,506) x common factors =1 x 46 = 46

LCM(46,79,506) = ( 46 × 79 × 506 ) / 46

LCM(46,79,506) = 1838804 / 46

LCM(46,79,506) = 39974


Lets's calculate GCF of 245,131,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39974/1

Therefore the LCM of Fractions 46/245,79/131,506/135 is 39974

Greatest Common Factor of 245,131,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,131,135 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 245,131,135 . The biggest common factor number is the GCF number.
So the greatest common factor 245,131,135 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 46/245, 79/131, 506/135

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 46/245, 79/131, 506/135?

Answer: LCM of Numerators as per given numbers 46/245, 79/131, 506/135 is

LCM of Numerators i.e. for 46,79,506 is 39974

GCF of denominators i.e. for 245,131,135 is 1.

Thus, LCM of Fractions is 39974.Finally, LCM of Fractions for 46/245, 79/131, 506/135 is 39974.