Least Common Multiple of 26/342, 852/598, 441/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/342, 852/598, 441/988 quickly i.e. 814086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/342, 852/598, 441/988 is 814086.

LCM(26/342, 852/598, 441/988) = 814086

LCM of 26/342, 852/598, 441/988

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 26/342,852/598,441/988

Given numbers are 26/342,852/598,441/988

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 26,852,441

Least Common Multiple of Numerators i.e. LCM of 26,852,441 is 1628172.

GCF of Denominators means GCF of 342,598,988 as per the given fractions.

GCF of 342,598,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,852,441

LCM of Fractions 26/342,852/598,441/988 is 814086

2 26, 852, 441
3 13, 426, 441
13, 142, 147

∴ So the LCM of the given numbers is 2 x 3 x 13 x 142 x 147 = 1628172

Least Common Multiple of 26,852,441 with GCF Formula

Least Common Multiple of 26,852,441 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 26,852,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,852,441) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,852,441) x common factors =1 x 6 = 6

LCM(26,852,441) = ( 26 × 852 × 441 ) / 6

LCM(26,852,441) = 9769032 / 6

LCM(26,852,441) = 1628172


Lets's calculate GCF of 342,598,988

2 342, 598, 988
171, 299, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628172/2

Therefore the LCM of Fractions 26/342,852/598,441/988 is 814086

Greatest Common Factor of 342,598,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,598,988 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 342,598,988 . The biggest common factor number is the GCF number.
So the greatest common factor 342,598,988 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 26/342, 852/598, 441/988

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 26/342, 852/598, 441/988?

Answer: LCM of Numerators as per given numbers 26/342, 852/598, 441/988 is

LCM of Numerators i.e. for 26,852,441 is 1628172

GCF of denominators i.e. for 342,598,988 is 2.

Thus, LCM of Fractions is 814086.Finally, LCM of Fractions for 26/342, 852/598, 441/988 is 814086.