Least Common Multiple of 242/616, 934/917, 518/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/616, 934/917, 518/449 quickly i.e. 29270626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/616, 934/917, 518/449 is 29270626.

LCM(242/616, 934/917, 518/449) = 29270626

LCM of 242/616, 934/917, 518/449

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 242/616,934/917,518/449

Given numbers are 242/616,934/917,518/449

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 242,934,518

Least Common Multiple of Numerators i.e. LCM of 242,934,518 is 29270626.

GCF of Denominators means GCF of 616,917,449 as per the given fractions.

GCF of 616,917,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,934,518

LCM of Fractions 242/616,934/917,518/449 is 29270626

2 242, 934, 518
121, 467, 259

∴ So the LCM of the given numbers is 2 x 121 x 467 x 259 = 29270626

Least Common Multiple of 242,934,518 with GCF Formula

Least Common Multiple of 242,934,518 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 242,934,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,934,518) = 2

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

GCF(242,934,518) x common factors =2 x 2 = 4

LCM(242,934,518) = ( 242 × 934 × 518 ) / 4

LCM(242,934,518) = 117082504 / 4

LCM(242,934,518) = 29270626


Lets's calculate GCF of 616,917,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29270626/1

Therefore the LCM of Fractions 242/616,934/917,518/449 is 29270626

Greatest Common Factor of 616,917,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,917,449 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 616,917,449 . The biggest common factor number is the GCF number.
So the greatest common factor 616,917,449 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 242/616, 934/917, 518/449

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 242/616, 934/917, 518/449?

Answer: LCM of Numerators as per given numbers 242/616, 934/917, 518/449 is

LCM of Numerators i.e. for 242,934,518 is 29270626

GCF of denominators i.e. for 616,917,449 is 1.

Thus, LCM of Fractions is 29270626.Finally, LCM of Fractions for 242/616, 934/917, 518/449 is 29270626.