Least Common Multiple of 984/34, 219/98, 502/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/34, 219/98, 502/726 quickly i.e. 9014916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/34, 219/98, 502/726 is 9014916.

LCM(984/34, 219/98, 502/726) = 9014916

LCM of 984/34, 219/98, 502/726

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 984/34,219/98,502/726

Given numbers are 984/34,219/98,502/726

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 984,219,502

Least Common Multiple of Numerators i.e. LCM of 984,219,502 is 18029832.

GCF of Denominators means GCF of 34,98,726 as per the given fractions.

GCF of 34,98,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,219,502

LCM of Fractions 984/34,219/98,502/726 is 9014916

2 984, 219, 502
3 492, 219, 251
164, 73, 251

∴ So the LCM of the given numbers is 2 x 3 x 164 x 73 x 251 = 18029832

Least Common Multiple of 984,219,502 with GCF Formula

Least Common Multiple of 984,219,502 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 984,219,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,219,502) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(984,219,502) x common factors =1 x 6 = 6

LCM(984,219,502) = ( 984 × 219 × 502 ) / 6

LCM(984,219,502) = 108178992 / 6

LCM(984,219,502) = 18029832


Lets's calculate GCF of 34,98,726

2 34, 98, 726
17, 49, 363

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18029832/2

Therefore the LCM of Fractions 984/34,219/98,502/726 is 9014916

Greatest Common Factor of 34,98,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,98,726 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 98

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

1,2,7,14,49,98

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 34,98,726 . The biggest common factor number is the GCF number.
So the greatest common factor 34,98,726 is 2.


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 984/34, 219/98, 502/726

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 984/34, 219/98, 502/726?

Answer: LCM of Numerators as per given numbers 984/34, 219/98, 502/726 is

LCM of Numerators i.e. for 984,219,502 is 18029832

GCF of denominators i.e. for 34,98,726 is 2.

Thus, LCM of Fractions is 9014916.Finally, LCM of Fractions for 984/34, 219/98, 502/726 is 9014916.