Least Common Multiple of 3196/741, 4138/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3196/741, 4138/973 quickly i.e. 6612524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3196/741, 4138/973 is 6612524.

LCM(3196/741, 4138/973) = 6612524

LCM of 3196/741, 4138/973

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 3196/741,4138/973

Given numbers are 3196/741,4138/973

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 3196,4138

Least Common Multiple of Numerators i.e. LCM of 3196,4138 is 6612524.

GCF of Denominators means GCF of 741,973 as per the given fractions.

GCF of 741,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3196,4138

LCM of Fractions 3196/741,4138/973 is 6612524

2 3196, 4138
1598, 2069

∴ So the LCM of the given numbers is 2 x 1598 x 2069 = 6612524

Least Common Multiple of 3196,4138 with GCF Formula

Least Common Multiple of 3196,4138 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 3196,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3196,4138) = 2

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

GCF(3196,4138) x common factors =2 x 1 = 2

LCM(3196,4138) = ( 3196 × 4138 ) / 2

LCM(3196,4138) = 13225048 / 2

LCM(3196,4138) = 6612524


Lets's calculate GCF of 741,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6612524/1

Therefore the LCM of Fractions 3196/741,4138/973 is 6612524

Greatest Common Factor of 741,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,973 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 741,973 . The biggest common factor number is the GCF number.
So the greatest common factor 741,973 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 3196/741, 4138/973

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 3196/741, 4138/973?

Answer: LCM of Numerators as per given numbers 3196/741, 4138/973 is

LCM of Numerators i.e. for 3196,4138 is 6612524

GCF of denominators i.e. for 741,973 is 1.

Thus, LCM of Fractions is 6612524.Finally, LCM of Fractions for 3196/741, 4138/973 is 6612524.