Least Common Multiple of 74/297, 21/931, 401/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/297, 21/931, 401/106 quickly i.e. 623154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/297, 21/931, 401/106 is 623154.

LCM(74/297, 21/931, 401/106) = 623154

LCM of 74/297, 21/931, 401/106

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 74/297,21/931,401/106

Given numbers are 74/297,21/931,401/106

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 74,21,401

Least Common Multiple of Numerators i.e. LCM of 74,21,401 is 623154.

GCF of Denominators means GCF of 297,931,106 as per the given fractions.

GCF of 297,931,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,21,401

LCM of Fractions 74/297,21/931,401/106 is 623154

Given numbers has no common factors except 1. So, there LCM is their product i.e 623154

Least Common Multiple of 74,21,401 with GCF Formula

Least Common Multiple of 74,21,401 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 74,21,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,21,401) = 1

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

GCF(74,21,401) x common factors =1 x 1 = 1

LCM(74,21,401) = ( 74 × 21 × 401 ) / 1

LCM(74,21,401) = 623154 / 1

LCM(74,21,401) = 623154


Lets's calculate GCF of 297,931,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623154/1

Therefore the LCM of Fractions 74/297,21/931,401/106 is 623154

Greatest Common Factor of 297,931,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,931,106 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 297,931,106 . The biggest common factor number is the GCF number.
So the greatest common factor 297,931,106 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 74/297, 21/931, 401/106

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 74/297, 21/931, 401/106?

Answer: LCM of Numerators as per given numbers 74/297, 21/931, 401/106 is

LCM of Numerators i.e. for 74,21,401 is 623154

GCF of denominators i.e. for 297,931,106 is 1.

Thus, LCM of Fractions is 623154.Finally, LCM of Fractions for 74/297, 21/931, 401/106 is 623154.