Least Common Multiple of 490/98, 846/72, 428/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/98, 846/72, 428/251 quickly i.e. 44355780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/98, 846/72, 428/251 is 44355780.

LCM(490/98, 846/72, 428/251) = 44355780

LCM of 490/98, 846/72, 428/251

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 490/98,846/72,428/251

Given numbers are 490/98,846/72,428/251

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 490,846,428

Least Common Multiple of Numerators i.e. LCM of 490,846,428 is 44355780.

GCF of Denominators means GCF of 98,72,251 as per the given fractions.

GCF of 98,72,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,846,428

LCM of Fractions 490/98,846/72,428/251 is 44355780

2 490, 846, 428
245, 423, 214

∴ So the LCM of the given numbers is 2 x 245 x 423 x 214 = 44355780

Least Common Multiple of 490,846,428 with GCF Formula

Least Common Multiple of 490,846,428 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 490,846,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,846,428) = 2

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

GCF(490,846,428) x common factors =2 x 2 = 4

LCM(490,846,428) = ( 490 × 846 × 428 ) / 4

LCM(490,846,428) = 177423120 / 4

LCM(490,846,428) = 44355780


Lets's calculate GCF of 98,72,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44355780/1

Therefore the LCM of Fractions 490/98,846/72,428/251 is 44355780

Greatest Common Factor of 98,72,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,72,251 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 98,72,251 . The biggest common factor number is the GCF number.
So the greatest common factor 98,72,251 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 490/98, 846/72, 428/251

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 490/98, 846/72, 428/251?

Answer: LCM of Numerators as per given numbers 490/98, 846/72, 428/251 is

LCM of Numerators i.e. for 490,846,428 is 44355780

GCF of denominators i.e. for 98,72,251 is 1.

Thus, LCM of Fractions is 44355780.Finally, LCM of Fractions for 490/98, 846/72, 428/251 is 44355780.