Least Common Multiple of 942/727, 8216/5974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/727, 8216/5974 quickly i.e. 3869736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/727, 8216/5974 is 3869736.

LCM(942/727, 8216/5974) = 3869736

LCM of 942/727, 8216/5974

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 942/727,8216/5974

Given numbers are 942/727,8216/5974

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 942,8216

Least Common Multiple of Numerators i.e. LCM of 942,8216 is 3869736.

GCF of Denominators means GCF of 727,5974 as per the given fractions.

GCF of 727,5974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,8216

LCM of Fractions 942/727,8216/5974 is 3869736

2 942, 8216
471, 4108

∴ So the LCM of the given numbers is 2 x 471 x 4108 = 3869736

Least Common Multiple of 942,8216 with GCF Formula

Least Common Multiple of 942,8216 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 942,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8216) = 2

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

GCF(942,8216) x common factors =2 x 1 = 2

LCM(942,8216) = ( 942 × 8216 ) / 2

LCM(942,8216) = 7739472 / 2

LCM(942,8216) = 3869736


Lets's calculate GCF of 727,5974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3869736/1

Therefore the LCM of Fractions 942/727,8216/5974 is 3869736

Greatest Common Factor of 727,5974 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,5974 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

Greatest Common Factor

We found the factors 727,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 727,5974 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 942/727, 8216/5974

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 942/727, 8216/5974?

Answer: LCM of Numerators as per given numbers 942/727, 8216/5974 is

LCM of Numerators i.e. for 942,8216 is 3869736

GCF of denominators i.e. for 727,5974 is 1.

Thus, LCM of Fractions is 3869736.Finally, LCM of Fractions for 942/727, 8216/5974 is 3869736.