Least Common Multiple of 9/357, 49/106, 22/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/357, 49/106, 22/431 quickly i.e. 9702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/357, 49/106, 22/431 is 9702.

LCM(9/357, 49/106, 22/431) = 9702

LCM of 9/357, 49/106, 22/431

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 9/357,49/106,22/431

Given numbers are 9/357,49/106,22/431

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 9,49,22

Least Common Multiple of Numerators i.e. LCM of 9,49,22 is 9702.

GCF of Denominators means GCF of 357,106,431 as per the given fractions.

GCF of 357,106,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,49,22

LCM of Fractions 9/357,49/106,22/431 is 9702

Given numbers has no common factors except 1. So, there LCM is their product i.e 9702

Least Common Multiple of 9,49,22 with GCF Formula

Least Common Multiple of 9,49,22 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 9,49,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,49,22) = 1

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

GCF(9,49,22) x common factors =1 x 1 = 1

LCM(9,49,22) = ( 9 × 49 × 22 ) / 1

LCM(9,49,22) = 9702 / 1

LCM(9,49,22) = 9702


Lets's calculate GCF of 357,106,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9702/1

Therefore the LCM of Fractions 9/357,49/106,22/431 is 9702

Greatest Common Factor of 357,106,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,106,431 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 106

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

1,2,53,106

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 357,106,431 . The biggest common factor number is the GCF number.
So the greatest common factor 357,106,431 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 9/357, 49/106, 22/431

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 9/357, 49/106, 22/431?

Answer: LCM of Numerators as per given numbers 9/357, 49/106, 22/431 is

LCM of Numerators i.e. for 9,49,22 is 9702

GCF of denominators i.e. for 357,106,431 is 1.

Thus, LCM of Fractions is 9702.Finally, LCM of Fractions for 9/357, 49/106, 22/431 is 9702.