Least Common Multiple of 730/95, 383/35, 724/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/95, 383/35, 724/98 quickly i.e. 101211580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/95, 383/35, 724/98 is 101211580.

LCM(730/95, 383/35, 724/98) = 101211580

LCM of 730/95, 383/35, 724/98

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 730/95,383/35,724/98

Given numbers are 730/95,383/35,724/98

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 730,383,724

Least Common Multiple of Numerators i.e. LCM of 730,383,724 is 101211580.

GCF of Denominators means GCF of 95,35,98 as per the given fractions.

GCF of 95,35,98 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,383,724

LCM of Fractions 730/95,383/35,724/98 is 101211580

2 730, 383, 724
365, 383, 362

∴ So the LCM of the given numbers is 2 x 365 x 383 x 362 = 101211580

Least Common Multiple of 730,383,724 with GCF Formula

Least Common Multiple of 730,383,724 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 730,383,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,383,724) = 1

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

GCF(730,383,724) x common factors =1 x 2 = 2

LCM(730,383,724) = ( 730 × 383 × 724 ) / 2

LCM(730,383,724) = 202423160 / 2

LCM(730,383,724) = 101211580


Lets's calculate GCF of 95,35,98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101211580/1

Therefore the LCM of Fractions 730/95,383/35,724/98 is 101211580

Greatest Common Factor of 95,35,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,35,98 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 98

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

1,2,7,14,49,98

Greatest Common Factor

We found the factors 95,35,98 . The biggest common factor number is the GCF number.
So the greatest common factor 95,35,98 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 730/95, 383/35, 724/98

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 730/95, 383/35, 724/98?

Answer: LCM of Numerators as per given numbers 730/95, 383/35, 724/98 is

LCM of Numerators i.e. for 730,383,724 is 101211580

GCF of denominators i.e. for 95,35,98 is 1.

Thus, LCM of Fractions is 101211580.Finally, LCM of Fractions for 730/95, 383/35, 724/98 is 101211580.