Least Common Multiple of 99/31, 61/178, 561/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/31, 61/178, 561/428 quickly i.e. 102663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/31, 61/178, 561/428 is 102663.

LCM(99/31, 61/178, 561/428) = 102663

LCM of 99/31, 61/178, 561/428

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 99/31,61/178,561/428

Given numbers are 99/31,61/178,561/428

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 99,61,561

Least Common Multiple of Numerators i.e. LCM of 99,61,561 is 102663.

GCF of Denominators means GCF of 31,178,428 as per the given fractions.

GCF of 31,178,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,61,561

LCM of Fractions 99/31,61/178,561/428 is 102663

3 99, 61, 561
11 33, 61, 187
3, 61, 17

∴ So the LCM of the given numbers is 3 x 11 x 3 x 61 x 17 = 102663

Least Common Multiple of 99,61,561 with GCF Formula

Least Common Multiple of 99,61,561 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 99,61,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,61,561) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(99,61,561) x common factors =1 x 33 = 33

LCM(99,61,561) = ( 99 × 61 × 561 ) / 33

LCM(99,61,561) = 3387879 / 33

LCM(99,61,561) = 102663


Lets's calculate GCF of 31,178,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102663/1

Therefore the LCM of Fractions 99/31,61/178,561/428 is 102663

Greatest Common Factor of 31,178,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,178,428 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 31,178,428 . The biggest common factor number is the GCF number.
So the greatest common factor 31,178,428 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 99/31, 61/178, 561/428

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 99/31, 61/178, 561/428?

Answer: LCM of Numerators as per given numbers 99/31, 61/178, 561/428 is

LCM of Numerators i.e. for 99,61,561 is 102663

GCF of denominators i.e. for 31,178,428 is 1.

Thus, LCM of Fractions is 102663.Finally, LCM of Fractions for 99/31, 61/178, 561/428 is 102663.