Least Common Multiple of 690/26, 348/6146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/26, 348/6146 quickly i.e. 20010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/26, 348/6146 is 20010.

LCM(690/26, 348/6146) = 20010

LCM of 690/26, 348/6146

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 690/26,348/6146

Given numbers are 690/26,348/6146

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 690,348

Least Common Multiple of Numerators i.e. LCM of 690,348 is 40020.

GCF of Denominators means GCF of 26,6146 as per the given fractions.

GCF of 26,6146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,348

LCM of Fractions 690/26,348/6146 is 20010

2 690, 348
3 345, 174
115, 58

∴ So the LCM of the given numbers is 2 x 3 x 115 x 58 = 40020

Least Common Multiple of 690,348 with GCF Formula

Least Common Multiple of 690,348 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 690,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,348) = 6

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

GCF(690,348) x common factors =6 x 1 = 6

LCM(690,348) = ( 690 × 348 ) / 6

LCM(690,348) = 240120 / 6

LCM(690,348) = 40020


Lets's calculate GCF of 26,6146

2 26, 6146
13, 3073

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40020/2

Therefore the LCM of Fractions 690/26,348/6146 is 20010

Greatest Common Factor of 26,6146 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,6146 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 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1,2,7,14,439,878,3073,6146

Greatest Common Factor

We found the factors 26,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 26,6146 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 690/26, 348/6146

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 690/26, 348/6146?

Answer: LCM of Numerators as per given numbers 690/26, 348/6146 is

LCM of Numerators i.e. for 690,348 is 40020

GCF of denominators i.e. for 26,6146 is 2.

Thus, LCM of Fractions is 20010.Finally, LCM of Fractions for 690/26, 348/6146 is 20010.