Least Common Multiple of 58/398, 4724/7684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/398, 4724/7684 quickly i.e. 68498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/398, 4724/7684 is 68498.

LCM(58/398, 4724/7684) = 68498

LCM of 58/398, 4724/7684

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 58/398,4724/7684

Given numbers are 58/398,4724/7684

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 58,4724

Least Common Multiple of Numerators i.e. LCM of 58,4724 is 136996.

GCF of Denominators means GCF of 398,7684 as per the given fractions.

GCF of 398,7684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,4724

LCM of Fractions 58/398,4724/7684 is 68498

2 58, 4724
29, 2362

∴ So the LCM of the given numbers is 2 x 29 x 2362 = 136996

Least Common Multiple of 58,4724 with GCF Formula

Least Common Multiple of 58,4724 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 58,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,4724) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(58,4724) x common factors =2 x 1 = 2

LCM(58,4724) = ( 58 × 4724 ) / 2

LCM(58,4724) = 273992 / 2

LCM(58,4724) = 136996


Lets's calculate GCF of 398,7684

2 398, 7684
199, 3842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136996/2

Therefore the LCM of Fractions 58/398,4724/7684 is 68498

Greatest Common Factor of 398,7684 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,7684 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 7684

List of positive integer factors of 7684 that divides 7684 without a remainder.

1,2,4,17,34,68,113,226,452,1921,3842,7684

Greatest Common Factor

We found the factors 398,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 398,7684 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 58/398, 4724/7684

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 58/398, 4724/7684?

Answer: LCM of Numerators as per given numbers 58/398, 4724/7684 is

LCM of Numerators i.e. for 58,4724 is 136996

GCF of denominators i.e. for 398,7684 is 2.

Thus, LCM of Fractions is 68498.Finally, LCM of Fractions for 58/398, 4724/7684 is 68498.