Least Common Multiple of 174/26, 107/1022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/26, 107/1022 quickly i.e. 9309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/26, 107/1022 is 9309.

LCM(174/26, 107/1022) = 9309

LCM of 174/26, 107/1022

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 174/26,107/1022

Given numbers are 174/26,107/1022

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 174,107

Least Common Multiple of Numerators i.e. LCM of 174,107 is 18618.

GCF of Denominators means GCF of 26,1022 as per the given fractions.

GCF of 26,1022 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,107

LCM of Fractions 174/26,107/1022 is 9309

Given numbers has no common factors except 1. So, there LCM is their product i.e 18618

Least Common Multiple of 174,107 with GCF Formula

Least Common Multiple of 174,107 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 174,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,107) = 1

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

GCF(174,107) x common factors =1 x 1 = 1

LCM(174,107) = ( 174 × 107 ) / 1

LCM(174,107) = 18618 / 1

LCM(174,107) = 18618


Lets's calculate GCF of 26,1022

2 26, 1022
13, 511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18618/2

Therefore the LCM of Fractions 174/26,107/1022 is 9309

Greatest Common Factor of 26,1022 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,1022 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1,2,7,14,73,146,511,1022

Greatest Common Factor

We found the factors 26,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 26,1022 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 174/26, 107/1022

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 174/26, 107/1022?

Answer: LCM of Numerators as per given numbers 174/26, 107/1022 is

LCM of Numerators i.e. for 174,107 is 18618

GCF of denominators i.e. for 26,1022 is 2.

Thus, LCM of Fractions is 9309.Finally, LCM of Fractions for 174/26, 107/1022 is 9309.