Least Common Multiple of 769/66, 668/27, 167/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/66, 668/27, 167/130 quickly i.e. 513692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/66, 668/27, 167/130 is 513692.

LCM(769/66, 668/27, 167/130) = 513692

LCM of 769/66, 668/27, 167/130

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 769/66,668/27,167/130

Given numbers are 769/66,668/27,167/130

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 769,668,167

Least Common Multiple of Numerators i.e. LCM of 769,668,167 is 513692.

GCF of Denominators means GCF of 66,27,130 as per the given fractions.

GCF of 66,27,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,668,167

LCM of Fractions 769/66,668/27,167/130 is 513692

167 769, 668, 167
769, 4, 1

∴ So the LCM of the given numbers is 167 x 769 x 4 x 1 = 513692

Least Common Multiple of 769,668,167 with GCF Formula

Least Common Multiple of 769,668,167 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 769,668,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,668,167) = 1

common factors(in case of two or more numbers have common factors) = 167

GCF(769,668,167) x common factors =1 x 167 = 167

LCM(769,668,167) = ( 769 × 668 × 167 ) / 167

LCM(769,668,167) = 85786564 / 167

LCM(769,668,167) = 513692


Lets's calculate GCF of 66,27,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 513692/1

Therefore the LCM of Fractions 769/66,668/27,167/130 is 513692

Greatest Common Factor of 66,27,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,27,130 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 66,27,130 . The biggest common factor number is the GCF number.
So the greatest common factor 66,27,130 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 769/66, 668/27, 167/130

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 769/66, 668/27, 167/130?

Answer: LCM of Numerators as per given numbers 769/66, 668/27, 167/130 is

LCM of Numerators i.e. for 769,668,167 is 513692

GCF of denominators i.e. for 66,27,130 is 1.

Thus, LCM of Fractions is 513692.Finally, LCM of Fractions for 769/66, 668/27, 167/130 is 513692.