Least Common Multiple of 98/452, 781/246, 942/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/452, 781/246, 942/978 quickly i.e. 18024699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/452, 781/246, 942/978 is 18024699.

LCM(98/452, 781/246, 942/978) = 18024699

LCM of 98/452, 781/246, 942/978

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 98/452,781/246,942/978

Given numbers are 98/452,781/246,942/978

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 98,781,942

Least Common Multiple of Numerators i.e. LCM of 98,781,942 is 36049398.

GCF of Denominators means GCF of 452,246,978 as per the given fractions.

GCF of 452,246,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,781,942

LCM of Fractions 98/452,781/246,942/978 is 18024699

2 98, 781, 942
49, 781, 471

∴ So the LCM of the given numbers is 2 x 49 x 781 x 471 = 36049398

Least Common Multiple of 98,781,942 with GCF Formula

Least Common Multiple of 98,781,942 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 98,781,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,781,942) = 1

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

GCF(98,781,942) x common factors =1 x 2 = 2

LCM(98,781,942) = ( 98 × 781 × 942 ) / 2

LCM(98,781,942) = 72098796 / 2

LCM(98,781,942) = 36049398


Lets's calculate GCF of 452,246,978

2 452, 246, 978
226, 123, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36049398/2

Therefore the LCM of Fractions 98/452,781/246,942/978 is 18024699

Greatest Common Factor of 452,246,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,246,978 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 452,246,978 . The biggest common factor number is the GCF number.
So the greatest common factor 452,246,978 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 98/452, 781/246, 942/978

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 98/452, 781/246, 942/978?

Answer: LCM of Numerators as per given numbers 98/452, 781/246, 942/978 is

LCM of Numerators i.e. for 98,781,942 is 36049398

GCF of denominators i.e. for 452,246,978 is 2.

Thus, LCM of Fractions is 18024699.Finally, LCM of Fractions for 98/452, 781/246, 942/978 is 18024699.