Least Common Multiple of 3170/351, 3593/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3170/351, 3593/942 quickly i.e. 11389810/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3170/351, 3593/942 is 11389810/3.

LCM(3170/351, 3593/942) = 11389810/3

LCM of 3170/351, 3593/942

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 3170/351,3593/942

Given numbers are 3170/351,3593/942

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 3170,3593

Least Common Multiple of Numerators i.e. LCM of 3170,3593 is 11389810.

GCF of Denominators means GCF of 351,942 as per the given fractions.

GCF of 351,942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3170,3593

LCM of Fractions 3170/351,3593/942 is 11389810/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 11389810

Least Common Multiple of 3170,3593 with GCF Formula

Least Common Multiple of 3170,3593 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 3170,3593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3170,3593) = 1

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

GCF(3170,3593) x common factors =1 x 1 = 1

LCM(3170,3593) = ( 3170 × 3593 ) / 1

LCM(3170,3593) = 11389810 / 1

LCM(3170,3593) = 11389810


Lets's calculate GCF of 351,942

3 351, 942
117, 314

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11389810/3

Therefore the LCM of Fractions 3170/351,3593/942 is 11389810/3

Greatest Common Factor of 351,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,942 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 351,942 . The biggest common factor number is the GCF number.
So the greatest common factor 351,942 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3170/351, 3593/942

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 3170/351, 3593/942?

Answer: LCM of Numerators as per given numbers 3170/351, 3593/942 is

LCM of Numerators i.e. for 3170,3593 is 11389810

GCF of denominators i.e. for 351,942 is 3.

Thus, LCM of Fractions is 11389810/3.Finally, LCM of Fractions for 3170/351, 3593/942 is 11389810/3.