Least Common Multiple of 492/241, 810/236, 341/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/241, 810/236, 341/108 quickly i.e. 22649220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/241, 810/236, 341/108 is 22649220.

LCM(492/241, 810/236, 341/108) = 22649220

LCM of 492/241, 810/236, 341/108

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 492/241,810/236,341/108

Given numbers are 492/241,810/236,341/108

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 492,810,341

Least Common Multiple of Numerators i.e. LCM of 492,810,341 is 22649220.

GCF of Denominators means GCF of 241,236,108 as per the given fractions.

GCF of 241,236,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,810,341

LCM of Fractions 492/241,810/236,341/108 is 22649220

2 492, 810, 341
3 246, 405, 341
82, 135, 341

∴ So the LCM of the given numbers is 2 x 3 x 82 x 135 x 341 = 22649220

Least Common Multiple of 492,810,341 with GCF Formula

Least Common Multiple of 492,810,341 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 492,810,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,810,341) = 1

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

GCF(492,810,341) x common factors =1 x 6 = 6

LCM(492,810,341) = ( 492 × 810 × 341 ) / 6

LCM(492,810,341) = 135895320 / 6

LCM(492,810,341) = 22649220


Lets's calculate GCF of 241,236,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22649220/1

Therefore the LCM of Fractions 492/241,810/236,341/108 is 22649220

Greatest Common Factor of 241,236,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,236,108 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 241,236,108 . The biggest common factor number is the GCF number.
So the greatest common factor 241,236,108 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 492/241, 810/236, 341/108

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 492/241, 810/236, 341/108?

Answer: LCM of Numerators as per given numbers 492/241, 810/236, 341/108 is

LCM of Numerators i.e. for 492,810,341 is 22649220

GCF of denominators i.e. for 241,236,108 is 1.

Thus, LCM of Fractions is 22649220.Finally, LCM of Fractions for 492/241, 810/236, 341/108 is 22649220.