Least Common Multiple of 26/85, 46/22, 780/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/85, 46/22, 780/174 quickly i.e. 17940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/85, 46/22, 780/174 is 17940.

LCM(26/85, 46/22, 780/174) = 17940

LCM of 26/85, 46/22, 780/174

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 26/85,46/22,780/174

Given numbers are 26/85,46/22,780/174

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 26,46,780

Least Common Multiple of Numerators i.e. LCM of 26,46,780 is 17940.

GCF of Denominators means GCF of 85,22,174 as per the given fractions.

GCF of 85,22,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,46,780

LCM of Fractions 26/85,46/22,780/174 is 17940

2 26, 46, 780
13 13, 23, 390
1, 23, 30

∴ So the LCM of the given numbers is 2 x 13 x 1 x 23 x 30 = 17940

Least Common Multiple of 26,46,780 with GCF Formula

Least Common Multiple of 26,46,780 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 26,46,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,46,780) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(26,46,780) x common factors =2 x 26 = 52

LCM(26,46,780) = ( 26 × 46 × 780 ) / 52

LCM(26,46,780) = 932880 / 52

LCM(26,46,780) = 17940


Lets's calculate GCF of 85,22,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17940/1

Therefore the LCM of Fractions 26/85,46/22,780/174 is 17940

Greatest Common Factor of 85,22,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,22,174 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 85,22,174 . The biggest common factor number is the GCF number.
So the greatest common factor 85,22,174 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 26/85, 46/22, 780/174

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 26/85, 46/22, 780/174?

Answer: LCM of Numerators as per given numbers 26/85, 46/22, 780/174 is

LCM of Numerators i.e. for 26,46,780 is 17940

GCF of denominators i.e. for 85,22,174 is 1.

Thus, LCM of Fractions is 17940.Finally, LCM of Fractions for 26/85, 46/22, 780/174 is 17940.