Least Common Multiple of 169/46, 858/26, 767/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/46, 858/26, 767/66 quickly i.e. 329043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/46, 858/26, 767/66 is 329043.

LCM(169/46, 858/26, 767/66) = 329043

LCM of 169/46, 858/26, 767/66

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 169/46,858/26,767/66

Given numbers are 169/46,858/26,767/66

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 169,858,767

Least Common Multiple of Numerators i.e. LCM of 169,858,767 is 658086.

GCF of Denominators means GCF of 46,26,66 as per the given fractions.

GCF of 46,26,66 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,858,767

LCM of Fractions 169/46,858/26,767/66 is 329043

13 169, 858, 767
13, 66, 59

∴ So the LCM of the given numbers is 13 x 13 x 66 x 59 = 658086

Least Common Multiple of 169,858,767 with GCF Formula

Least Common Multiple of 169,858,767 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 169,858,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,858,767) = 13

common factors(in case of two or more numbers have common factors) = 13

GCF(169,858,767) x common factors =13 x 13 = 169

LCM(169,858,767) = ( 169 × 858 × 767 ) / 169

LCM(169,858,767) = 111216534 / 169

LCM(169,858,767) = 658086


Lets's calculate GCF of 46,26,66

2 46, 26, 66
23, 13, 33

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 658086/2

Therefore the LCM of Fractions 169/46,858/26,767/66 is 329043

Greatest Common Factor of 46,26,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,26,66 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 66

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

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

Greatest Common Factor

We found the factors 46,26,66 . The biggest common factor number is the GCF number.
So the greatest common factor 46,26,66 is 2.


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 169/46, 858/26, 767/66

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 169/46, 858/26, 767/66?

Answer: LCM of Numerators as per given numbers 169/46, 858/26, 767/66 is

LCM of Numerators i.e. for 169,858,767 is 658086

GCF of denominators i.e. for 46,26,66 is 2.

Thus, LCM of Fractions is 329043.Finally, LCM of Fractions for 169/46, 858/26, 767/66 is 329043.