Least Common Multiple of 179/19, 975/84, 771/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/19, 975/84, 771/679 quickly i.e. 44852925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/19, 975/84, 771/679 is 44852925.

LCM(179/19, 975/84, 771/679) = 44852925

LCM of 179/19, 975/84, 771/679

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 179/19,975/84,771/679

Given numbers are 179/19,975/84,771/679

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 179,975,771

Least Common Multiple of Numerators i.e. LCM of 179,975,771 is 44852925.

GCF of Denominators means GCF of 19,84,679 as per the given fractions.

GCF of 19,84,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,975,771

LCM of Fractions 179/19,975/84,771/679 is 44852925

3 179, 975, 771
179, 325, 257

∴ So the LCM of the given numbers is 3 x 179 x 325 x 257 = 44852925

Least Common Multiple of 179,975,771 with GCF Formula

Least Common Multiple of 179,975,771 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 179,975,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,975,771) = 1

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

GCF(179,975,771) x common factors =1 x 3 = 3

LCM(179,975,771) = ( 179 × 975 × 771 ) / 3

LCM(179,975,771) = 134558775 / 3

LCM(179,975,771) = 44852925


Lets's calculate GCF of 19,84,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44852925/1

Therefore the LCM of Fractions 179/19,975/84,771/679 is 44852925

Greatest Common Factor of 19,84,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,84,679 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 19,84,679 . The biggest common factor number is the GCF number.
So the greatest common factor 19,84,679 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 179/19, 975/84, 771/679

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 179/19, 975/84, 771/679?

Answer: LCM of Numerators as per given numbers 179/19, 975/84, 771/679 is

LCM of Numerators i.e. for 179,975,771 is 44852925

GCF of denominators i.e. for 19,84,679 is 1.

Thus, LCM of Fractions is 44852925.Finally, LCM of Fractions for 179/19, 975/84, 771/679 is 44852925.