Least Common Multiple of 98/60, 547/71, 313/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/60, 547/71, 313/330 quickly i.e. 16778678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/60, 547/71, 313/330 is 16778678.

LCM(98/60, 547/71, 313/330) = 16778678

LCM of 98/60, 547/71, 313/330

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 98/60,547/71,313/330

Given numbers are 98/60,547/71,313/330

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 98,547,313

Least Common Multiple of Numerators i.e. LCM of 98,547,313 is 16778678.

GCF of Denominators means GCF of 60,71,330 as per the given fractions.

GCF of 60,71,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,547,313

LCM of Fractions 98/60,547/71,313/330 is 16778678

Given numbers has no common factors except 1. So, there LCM is their product i.e 16778678

Least Common Multiple of 98,547,313 with GCF Formula

Least Common Multiple of 98,547,313 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 98,547,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,547,313) = 1

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

GCF(98,547,313) x common factors =1 x 1 = 1

LCM(98,547,313) = ( 98 × 547 × 313 ) / 1

LCM(98,547,313) = 16778678 / 1

LCM(98,547,313) = 16778678


Lets's calculate GCF of 60,71,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16778678/1

Therefore the LCM of Fractions 98/60,547/71,313/330 is 16778678

Greatest Common Factor of 60,71,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,71,330 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 60,71,330 . The biggest common factor number is the GCF number.
So the greatest common factor 60,71,330 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/60, 547/71, 313/330

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 98/60, 547/71, 313/330?

Answer: LCM of Numerators as per given numbers 98/60, 547/71, 313/330 is

LCM of Numerators i.e. for 98,547,313 is 16778678

GCF of denominators i.e. for 60,71,330 is 1.

Thus, LCM of Fractions is 16778678.Finally, LCM of Fractions for 98/60, 547/71, 313/330 is 16778678.