Least Common Multiple of 41/974, 71/312, 221/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/974, 71/312, 221/299 quickly i.e. 643331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/974, 71/312, 221/299 is 643331.

LCM(41/974, 71/312, 221/299) = 643331

LCM of 41/974, 71/312, 221/299

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 41/974,71/312,221/299

Given numbers are 41/974,71/312,221/299

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 41,71,221

Least Common Multiple of Numerators i.e. LCM of 41,71,221 is 643331.

GCF of Denominators means GCF of 974,312,299 as per the given fractions.

GCF of 974,312,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,71,221

LCM of Fractions 41/974,71/312,221/299 is 643331

Given numbers has no common factors except 1. So, there LCM is their product i.e 643331

Least Common Multiple of 41,71,221 with GCF Formula

Least Common Multiple of 41,71,221 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 41,71,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,71,221) = 1

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

GCF(41,71,221) x common factors =1 x 1 = 1

LCM(41,71,221) = ( 41 × 71 × 221 ) / 1

LCM(41,71,221) = 643331 / 1

LCM(41,71,221) = 643331


Lets's calculate GCF of 974,312,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643331/1

Therefore the LCM of Fractions 41/974,71/312,221/299 is 643331

Greatest Common Factor of 974,312,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,312,299 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 974,312,299 . The biggest common factor number is the GCF number.
So the greatest common factor 974,312,299 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 41/974, 71/312, 221/299

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 41/974, 71/312, 221/299?

Answer: LCM of Numerators as per given numbers 41/974, 71/312, 221/299 is

LCM of Numerators i.e. for 41,71,221 is 643331

GCF of denominators i.e. for 974,312,299 is 1.

Thus, LCM of Fractions is 643331.Finally, LCM of Fractions for 41/974, 71/312, 221/299 is 643331.