Least Common Multiple of 3116/93, 1738/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3116/93, 1738/402 quickly i.e. 2707804/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3116/93, 1738/402 is 2707804/3.

LCM(3116/93, 1738/402) = 2707804/3

LCM of 3116/93, 1738/402

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 3116/93,1738/402

Given numbers are 3116/93,1738/402

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 3116,1738

Least Common Multiple of Numerators i.e. LCM of 3116,1738 is 2707804.

GCF of Denominators means GCF of 93,402 as per the given fractions.

GCF of 93,402 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3116,1738

LCM of Fractions 3116/93,1738/402 is 2707804/3

2 3116, 1738
1558, 869

∴ So the LCM of the given numbers is 2 x 1558 x 869 = 2707804

Least Common Multiple of 3116,1738 with GCF Formula

Least Common Multiple of 3116,1738 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 3116,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3116,1738) = 2

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

GCF(3116,1738) x common factors =2 x 1 = 2

LCM(3116,1738) = ( 3116 × 1738 ) / 2

LCM(3116,1738) = 5415608 / 2

LCM(3116,1738) = 2707804


Lets's calculate GCF of 93,402

3 93, 402
31, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2707804/3

Therefore the LCM of Fractions 3116/93,1738/402 is 2707804/3

Greatest Common Factor of 93,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,402 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 93,402 . The biggest common factor number is the GCF number.
So the greatest common factor 93,402 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3116/93, 1738/402

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 3116/93, 1738/402?

Answer: LCM of Numerators as per given numbers 3116/93, 1738/402 is

LCM of Numerators i.e. for 3116,1738 is 2707804

GCF of denominators i.e. for 93,402 is 3.

Thus, LCM of Fractions is 2707804/3.Finally, LCM of Fractions for 3116/93, 1738/402 is 2707804/3.