Least Common Multiple of 41/109, 74/981, 154/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/109, 74/981, 154/810 quickly i.e. 233618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/109, 74/981, 154/810 is 233618.

LCM(41/109, 74/981, 154/810) = 233618

LCM of 41/109, 74/981, 154/810

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 41/109,74/981,154/810

Given numbers are 41/109,74/981,154/810

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 41,74,154

Least Common Multiple of Numerators i.e. LCM of 41,74,154 is 233618.

GCF of Denominators means GCF of 109,981,810 as per the given fractions.

GCF of 109,981,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,74,154

LCM of Fractions 41/109,74/981,154/810 is 233618

2 41, 74, 154
41, 37, 77

∴ So the LCM of the given numbers is 2 x 41 x 37 x 77 = 233618

Least Common Multiple of 41,74,154 with GCF Formula

Least Common Multiple of 41,74,154 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 41,74,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,74,154) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,74,154) x common factors =1 x 2 = 2

LCM(41,74,154) = ( 41 × 74 × 154 ) / 2

LCM(41,74,154) = 467236 / 2

LCM(41,74,154) = 233618


Lets's calculate GCF of 109,981,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233618/1

Therefore the LCM of Fractions 41/109,74/981,154/810 is 233618

Greatest Common Factor of 109,981,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,981,810 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 109,981,810 . The biggest common factor number is the GCF number.
So the greatest common factor 109,981,810 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 41/109, 74/981, 154/810

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 41/109, 74/981, 154/810?

Answer: LCM of Numerators as per given numbers 41/109, 74/981, 154/810 is

LCM of Numerators i.e. for 41,74,154 is 233618

GCF of denominators i.e. for 109,981,810 is 1.

Thus, LCM of Fractions is 233618.Finally, LCM of Fractions for 41/109, 74/981, 154/810 is 233618.