Least Common Multiple of 68/153, 63/147, 357/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/153, 63/147, 357/568 quickly i.e. 4284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/153, 63/147, 357/568 is 4284.

LCM(68/153, 63/147, 357/568) = 4284

LCM of 68/153, 63/147, 357/568

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 68/153,63/147,357/568

Given numbers are 68/153,63/147,357/568

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 68,63,357

Least Common Multiple of Numerators i.e. LCM of 68,63,357 is 4284.

GCF of Denominators means GCF of 153,147,568 as per the given fractions.

GCF of 153,147,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,63,357

LCM of Fractions 68/153,63/147,357/568 is 4284

3 68, 63, 357
7 68, 21, 119
17 68, 3, 17
4, 3, 1

∴ So the LCM of the given numbers is 3 x 7 x 17 x 4 x 3 x 1 = 4284

Least Common Multiple of 68,63,357 with GCF Formula

Least Common Multiple of 68,63,357 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 68,63,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,63,357) = 1

common factors(in case of two or more numbers have common factors) = 357

GCF(68,63,357) x common factors =1 x 357 = 357

LCM(68,63,357) = ( 68 × 63 × 357 ) / 357

LCM(68,63,357) = 1529388 / 357

LCM(68,63,357) = 4284


Lets's calculate GCF of 153,147,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4284/1

Therefore the LCM of Fractions 68/153,63/147,357/568 is 4284

Greatest Common Factor of 153,147,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,147,568 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 153,147,568 . The biggest common factor number is the GCF number.
So the greatest common factor 153,147,568 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 68/153, 63/147, 357/568

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 68/153, 63/147, 357/568?

Answer: LCM of Numerators as per given numbers 68/153, 63/147, 357/568 is

LCM of Numerators i.e. for 68,63,357 is 4284

GCF of denominators i.e. for 153,147,568 is 1.

Thus, LCM of Fractions is 4284.Finally, LCM of Fractions for 68/153, 63/147, 357/568 is 4284.