Least Common Multiple of 41/186, 35/822, 307/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/186, 35/822, 307/748 quickly i.e. 440545/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/186, 35/822, 307/748 is 440545/2.

LCM(41/186, 35/822, 307/748) = 440545/2

LCM of 41/186, 35/822, 307/748

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 41/186,35/822,307/748

Given numbers are 41/186,35/822,307/748

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 41,35,307

Least Common Multiple of Numerators i.e. LCM of 41,35,307 is 440545.

GCF of Denominators means GCF of 186,822,748 as per the given fractions.

GCF of 186,822,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,35,307

LCM of Fractions 41/186,35/822,307/748 is 440545/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 440545

Least Common Multiple of 41,35,307 with GCF Formula

Least Common Multiple of 41,35,307 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 41,35,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,35,307) = 1

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

GCF(41,35,307) x common factors =1 x 1 = 1

LCM(41,35,307) = ( 41 × 35 × 307 ) / 1

LCM(41,35,307) = 440545 / 1

LCM(41,35,307) = 440545


Lets's calculate GCF of 186,822,748

2 186, 822, 748
93, 411, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440545/2

Therefore the LCM of Fractions 41/186,35/822,307/748 is 440545/2

Greatest Common Factor of 186,822,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,822,748 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 186,822,748 . The biggest common factor number is the GCF number.
So the greatest common factor 186,822,748 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 41/186, 35/822, 307/748

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 41/186, 35/822, 307/748?

Answer: LCM of Numerators as per given numbers 41/186, 35/822, 307/748 is

LCM of Numerators i.e. for 41,35,307 is 440545

GCF of denominators i.e. for 186,822,748 is 2.

Thus, LCM of Fractions is 440545/2.Finally, LCM of Fractions for 41/186, 35/822, 307/748 is 440545/2.