Least Common Multiple of 58/10, 52/96, 988/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/10, 52/96, 988/306 quickly i.e. 14326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/10, 52/96, 988/306 is 14326.

LCM(58/10, 52/96, 988/306) = 14326

LCM of 58/10, 52/96, 988/306

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 58/10,52/96,988/306

Given numbers are 58/10,52/96,988/306

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 58,52,988

Least Common Multiple of Numerators i.e. LCM of 58,52,988 is 28652.

GCF of Denominators means GCF of 10,96,306 as per the given fractions.

GCF of 10,96,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,52,988

LCM of Fractions 58/10,52/96,988/306 is 14326

2 58, 52, 988
2 29, 26, 494
13 29, 13, 247
29, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 29 x 1 x 19 = 28652

Least Common Multiple of 58,52,988 with GCF Formula

Least Common Multiple of 58,52,988 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 58,52,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,52,988) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(58,52,988) x common factors =2 x 52 = 104

LCM(58,52,988) = ( 58 × 52 × 988 ) / 104

LCM(58,52,988) = 2979808 / 104

LCM(58,52,988) = 28652


Lets's calculate GCF of 10,96,306

2 10, 96, 306
5, 48, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28652/2

Therefore the LCM of Fractions 58/10,52/96,988/306 is 14326

Greatest Common Factor of 10,96,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,96,306 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 10,96,306 . The biggest common factor number is the GCF number.
So the greatest common factor 10,96,306 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 58/10, 52/96, 988/306

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 58/10, 52/96, 988/306?

Answer: LCM of Numerators as per given numbers 58/10, 52/96, 988/306 is

LCM of Numerators i.e. for 58,52,988 is 28652

GCF of denominators i.e. for 10,96,306 is 2.

Thus, LCM of Fractions is 14326.Finally, LCM of Fractions for 58/10, 52/96, 988/306 is 14326.