Least Common Multiple of 46/117, 659/548, 379/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/117, 659/548, 379/236 quickly i.e. 11489006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/117, 659/548, 379/236 is 11489006.

LCM(46/117, 659/548, 379/236) = 11489006

LCM of 46/117, 659/548, 379/236

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 46/117,659/548,379/236

Given numbers are 46/117,659/548,379/236

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 46,659,379

Least Common Multiple of Numerators i.e. LCM of 46,659,379 is 11489006.

GCF of Denominators means GCF of 117,548,236 as per the given fractions.

GCF of 117,548,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,659,379

LCM of Fractions 46/117,659/548,379/236 is 11489006

Given numbers has no common factors except 1. So, there LCM is their product i.e 11489006

Least Common Multiple of 46,659,379 with GCF Formula

Least Common Multiple of 46,659,379 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 46,659,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,659,379) = 1

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

GCF(46,659,379) x common factors =1 x 1 = 1

LCM(46,659,379) = ( 46 × 659 × 379 ) / 1

LCM(46,659,379) = 11489006 / 1

LCM(46,659,379) = 11489006


Lets's calculate GCF of 117,548,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11489006/1

Therefore the LCM of Fractions 46/117,659/548,379/236 is 11489006

Greatest Common Factor of 117,548,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,548,236 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 117,548,236 . The biggest common factor number is the GCF number.
So the greatest common factor 117,548,236 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 46/117, 659/548, 379/236

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 46/117, 659/548, 379/236?

Answer: LCM of Numerators as per given numbers 46/117, 659/548, 379/236 is

LCM of Numerators i.e. for 46,659,379 is 11489006

GCF of denominators i.e. for 117,548,236 is 1.

Thus, LCM of Fractions is 11489006.Finally, LCM of Fractions for 46/117, 659/548, 379/236 is 11489006.