Least Common Multiple of 98/821, 30/428, 494/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/821, 30/428, 494/696 quickly i.e. 363090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/821, 30/428, 494/696 is 363090.

LCM(98/821, 30/428, 494/696) = 363090

LCM of 98/821, 30/428, 494/696

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 98/821,30/428,494/696

Given numbers are 98/821,30/428,494/696

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 98,30,494

Least Common Multiple of Numerators i.e. LCM of 98,30,494 is 363090.

GCF of Denominators means GCF of 821,428,696 as per the given fractions.

GCF of 821,428,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,30,494

LCM of Fractions 98/821,30/428,494/696 is 363090

2 98, 30, 494
49, 15, 247

∴ So the LCM of the given numbers is 2 x 49 x 15 x 247 = 363090

Least Common Multiple of 98,30,494 with GCF Formula

Least Common Multiple of 98,30,494 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 98,30,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,30,494) = 2

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

GCF(98,30,494) x common factors =2 x 2 = 4

LCM(98,30,494) = ( 98 × 30 × 494 ) / 4

LCM(98,30,494) = 1452360 / 4

LCM(98,30,494) = 363090


Lets's calculate GCF of 821,428,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363090/1

Therefore the LCM of Fractions 98/821,30/428,494/696 is 363090

Greatest Common Factor of 821,428,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,428,696 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 821,428,696 . The biggest common factor number is the GCF number.
So the greatest common factor 821,428,696 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 98/821, 30/428, 494/696

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 98/821, 30/428, 494/696?

Answer: LCM of Numerators as per given numbers 98/821, 30/428, 494/696 is

LCM of Numerators i.e. for 98,30,494 is 363090

GCF of denominators i.e. for 821,428,696 is 1.

Thus, LCM of Fractions is 363090.Finally, LCM of Fractions for 98/821, 30/428, 494/696 is 363090.