Least Common Multiple of 41/740, 76/649, 726/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/740, 76/649, 726/871 quickly i.e. 1131108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/740, 76/649, 726/871 is 1131108.

LCM(41/740, 76/649, 726/871) = 1131108

LCM of 41/740, 76/649, 726/871

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 41/740,76/649,726/871

Given numbers are 41/740,76/649,726/871

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 41,76,726

Least Common Multiple of Numerators i.e. LCM of 41,76,726 is 1131108.

GCF of Denominators means GCF of 740,649,871 as per the given fractions.

GCF of 740,649,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,76,726

LCM of Fractions 41/740,76/649,726/871 is 1131108

2 41, 76, 726
41, 38, 363

∴ So the LCM of the given numbers is 2 x 41 x 38 x 363 = 1131108

Least Common Multiple of 41,76,726 with GCF Formula

Least Common Multiple of 41,76,726 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 41,76,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,76,726) = 1

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

GCF(41,76,726) x common factors =1 x 2 = 2

LCM(41,76,726) = ( 41 × 76 × 726 ) / 2

LCM(41,76,726) = 2262216 / 2

LCM(41,76,726) = 1131108


Lets's calculate GCF of 740,649,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1131108/1

Therefore the LCM of Fractions 41/740,76/649,726/871 is 1131108

Greatest Common Factor of 740,649,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,649,871 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 740,649,871 . The biggest common factor number is the GCF number.
So the greatest common factor 740,649,871 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 41/740, 76/649, 726/871

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 41/740, 76/649, 726/871?

Answer: LCM of Numerators as per given numbers 41/740, 76/649, 726/871 is

LCM of Numerators i.e. for 41,76,726 is 1131108

GCF of denominators i.e. for 740,649,871 is 1.

Thus, LCM of Fractions is 1131108.Finally, LCM of Fractions for 41/740, 76/649, 726/871 is 1131108.