Least Common Multiple of 298/54, 689/93, 549/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/54, 689/93, 549/520 quickly i.e. 112721778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/54, 689/93, 549/520 is 112721778.

LCM(298/54, 689/93, 549/520) = 112721778

LCM of 298/54, 689/93, 549/520

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 298/54,689/93,549/520

Given numbers are 298/54,689/93,549/520

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 298,689,549

Least Common Multiple of Numerators i.e. LCM of 298,689,549 is 112721778.

GCF of Denominators means GCF of 54,93,520 as per the given fractions.

GCF of 54,93,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,689,549

LCM of Fractions 298/54,689/93,549/520 is 112721778

Given numbers has no common factors except 1. So, there LCM is their product i.e 112721778

Least Common Multiple of 298,689,549 with GCF Formula

Least Common Multiple of 298,689,549 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 298,689,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,689,549) = 1

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

GCF(298,689,549) x common factors =1 x 1 = 1

LCM(298,689,549) = ( 298 × 689 × 549 ) / 1

LCM(298,689,549) = 112721778 / 1

LCM(298,689,549) = 112721778


Lets's calculate GCF of 54,93,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112721778/1

Therefore the LCM of Fractions 298/54,689/93,549/520 is 112721778

Greatest Common Factor of 54,93,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,93,520 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 54,93,520 . The biggest common factor number is the GCF number.
So the greatest common factor 54,93,520 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 298/54, 689/93, 549/520

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 298/54, 689/93, 549/520?

Answer: LCM of Numerators as per given numbers 298/54, 689/93, 549/520 is

LCM of Numerators i.e. for 298,689,549 is 112721778

GCF of denominators i.e. for 54,93,520 is 1.

Thus, LCM of Fractions is 112721778.Finally, LCM of Fractions for 298/54, 689/93, 549/520 is 112721778.