Least Common Multiple of 616/98, 520/15, 924/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/98, 520/15, 924/590 quickly i.e. 120120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/98, 520/15, 924/590 is 120120.

LCM(616/98, 520/15, 924/590) = 120120

LCM of 616/98, 520/15, 924/590

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 616/98,520/15,924/590

Given numbers are 616/98,520/15,924/590

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 616,520,924

Least Common Multiple of Numerators i.e. LCM of 616,520,924 is 120120.

GCF of Denominators means GCF of 98,15,590 as per the given fractions.

GCF of 98,15,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,520,924

LCM of Fractions 616/98,520/15,924/590 is 120120

2 616, 520, 924
2 308, 260, 462
2 154, 130, 231
7 77, 65, 231
11 11, 65, 33
1, 65, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 1 x 65 x 3 = 120120

Least Common Multiple of 616,520,924 with GCF Formula

Least Common Multiple of 616,520,924 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 616,520,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,520,924) = 4

common factors(in case of two or more numbers have common factors) = 616

GCF(616,520,924) x common factors =4 x 616 = 2464

LCM(616,520,924) = ( 616 × 520 × 924 ) / 2464

LCM(616,520,924) = 295975680 / 2464

LCM(616,520,924) = 120120


Lets's calculate GCF of 98,15,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120120/1

Therefore the LCM of Fractions 616/98,520/15,924/590 is 120120

Greatest Common Factor of 98,15,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,15,590 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 98,15,590 . The biggest common factor number is the GCF number.
So the greatest common factor 98,15,590 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 616/98, 520/15, 924/590

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 616/98, 520/15, 924/590?

Answer: LCM of Numerators as per given numbers 616/98, 520/15, 924/590 is

LCM of Numerators i.e. for 616,520,924 is 120120

GCF of denominators i.e. for 98,15,590 is 1.

Thus, LCM of Fractions is 120120.Finally, LCM of Fractions for 616/98, 520/15, 924/590 is 120120.