Least Common Multiple of 98/580, 394/686, 630/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/580, 394/686, 630/402 quickly i.e. 434385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/580, 394/686, 630/402 is 434385.

LCM(98/580, 394/686, 630/402) = 434385

LCM of 98/580, 394/686, 630/402

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 98/580,394/686,630/402

Given numbers are 98/580,394/686,630/402

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 98,394,630

Least Common Multiple of Numerators i.e. LCM of 98,394,630 is 868770.

GCF of Denominators means GCF of 580,686,402 as per the given fractions.

GCF of 580,686,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,394,630

LCM of Fractions 98/580,394/686,630/402 is 434385

2 98, 394, 630
7 49, 197, 315
7, 197, 45

∴ So the LCM of the given numbers is 2 x 7 x 7 x 197 x 45 = 868770

Least Common Multiple of 98,394,630 with GCF Formula

Least Common Multiple of 98,394,630 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 98,394,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,394,630) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(98,394,630) x common factors =2 x 14 = 28

LCM(98,394,630) = ( 98 × 394 × 630 ) / 28

LCM(98,394,630) = 24325560 / 28

LCM(98,394,630) = 868770


Lets's calculate GCF of 580,686,402

2 580, 686, 402
290, 343, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 868770/2

Therefore the LCM of Fractions 98/580,394/686,630/402 is 434385

Greatest Common Factor of 580,686,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,686,402 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 580,686,402 . The biggest common factor number is the GCF number.
So the greatest common factor 580,686,402 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 98/580, 394/686, 630/402

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 98/580, 394/686, 630/402?

Answer: LCM of Numerators as per given numbers 98/580, 394/686, 630/402 is

LCM of Numerators i.e. for 98,394,630 is 868770

GCF of denominators i.e. for 580,686,402 is 2.

Thus, LCM of Fractions is 434385.Finally, LCM of Fractions for 98/580, 394/686, 630/402 is 434385.