Least Common Multiple of 569/66, 924/31, 153/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/66, 924/31, 153/76 quickly i.e. 26813556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/66, 924/31, 153/76 is 26813556.

LCM(569/66, 924/31, 153/76) = 26813556

LCM of 569/66, 924/31, 153/76

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 569/66,924/31,153/76

Given numbers are 569/66,924/31,153/76

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 569,924,153

Least Common Multiple of Numerators i.e. LCM of 569,924,153 is 26813556.

GCF of Denominators means GCF of 66,31,76 as per the given fractions.

GCF of 66,31,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,924,153

LCM of Fractions 569/66,924/31,153/76 is 26813556

3 569, 924, 153
569, 308, 51

∴ So the LCM of the given numbers is 3 x 569 x 308 x 51 = 26813556

Least Common Multiple of 569,924,153 with GCF Formula

Least Common Multiple of 569,924,153 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 569,924,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,924,153) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(569,924,153) x common factors =1 x 3 = 3

LCM(569,924,153) = ( 569 × 924 × 153 ) / 3

LCM(569,924,153) = 80440668 / 3

LCM(569,924,153) = 26813556


Lets's calculate GCF of 66,31,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26813556/1

Therefore the LCM of Fractions 569/66,924/31,153/76 is 26813556

Greatest Common Factor of 66,31,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,31,76 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 66,31,76 . The biggest common factor number is the GCF number.
So the greatest common factor 66,31,76 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 569/66, 924/31, 153/76

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 569/66, 924/31, 153/76?

Answer: LCM of Numerators as per given numbers 569/66, 924/31, 153/76 is

LCM of Numerators i.e. for 569,924,153 is 26813556

GCF of denominators i.e. for 66,31,76 is 1.

Thus, LCM of Fractions is 26813556.Finally, LCM of Fractions for 569/66, 924/31, 153/76 is 26813556.