Least Common Multiple of 101/66, 179/87, 347/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/66, 179/87, 347/879 quickly i.e. 6273413/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/66, 179/87, 347/879 is 6273413/3.

LCM(101/66, 179/87, 347/879) = 6273413/3

LCM of 101/66, 179/87, 347/879

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 101/66,179/87,347/879

Given numbers are 101/66,179/87,347/879

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 101,179,347

Least Common Multiple of Numerators i.e. LCM of 101,179,347 is 6273413.

GCF of Denominators means GCF of 66,87,879 as per the given fractions.

GCF of 66,87,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,179,347

LCM of Fractions 101/66,179/87,347/879 is 6273413/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 6273413

Least Common Multiple of 101,179,347 with GCF Formula

Least Common Multiple of 101,179,347 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 101,179,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,179,347) = 1

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

GCF(101,179,347) x common factors =1 x 1 = 1

LCM(101,179,347) = ( 101 × 179 × 347 ) / 1

LCM(101,179,347) = 6273413 / 1

LCM(101,179,347) = 6273413


Lets's calculate GCF of 66,87,879

3 66, 87, 879
22, 29, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6273413/3

Therefore the LCM of Fractions 101/66,179/87,347/879 is 6273413/3

Greatest Common Factor of 66,87,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,87,879 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 66,87,879 . The biggest common factor number is the GCF number.
So the greatest common factor 66,87,879 is 3.


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 101/66, 179/87, 347/879

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 101/66, 179/87, 347/879?

Answer: LCM of Numerators as per given numbers 101/66, 179/87, 347/879 is

LCM of Numerators i.e. for 101,179,347 is 6273413

GCF of denominators i.e. for 66,87,879 is 3.

Thus, LCM of Fractions is 6273413/3.Finally, LCM of Fractions for 101/66, 179/87, 347/879 is 6273413/3.