Least Common Multiple of 802/39, 921/44, 414/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/39, 921/44, 414/313 quickly i.e. 50966298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/39, 921/44, 414/313 is 50966298.

LCM(802/39, 921/44, 414/313) = 50966298

LCM of 802/39, 921/44, 414/313

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 802/39,921/44,414/313

Given numbers are 802/39,921/44,414/313

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 802,921,414

Least Common Multiple of Numerators i.e. LCM of 802,921,414 is 50966298.

GCF of Denominators means GCF of 39,44,313 as per the given fractions.

GCF of 39,44,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,921,414

LCM of Fractions 802/39,921/44,414/313 is 50966298

2 802, 921, 414
3 401, 921, 207
401, 307, 69

∴ So the LCM of the given numbers is 2 x 3 x 401 x 307 x 69 = 50966298

Least Common Multiple of 802,921,414 with GCF Formula

Least Common Multiple of 802,921,414 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 802,921,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,921,414) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(802,921,414) x common factors =1 x 6 = 6

LCM(802,921,414) = ( 802 × 921 × 414 ) / 6

LCM(802,921,414) = 305797788 / 6

LCM(802,921,414) = 50966298


Lets's calculate GCF of 39,44,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50966298/1

Therefore the LCM of Fractions 802/39,921/44,414/313 is 50966298

Greatest Common Factor of 39,44,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,44,313 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 39,44,313 . The biggest common factor number is the GCF number.
So the greatest common factor 39,44,313 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 802/39, 921/44, 414/313

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 802/39, 921/44, 414/313?

Answer: LCM of Numerators as per given numbers 802/39, 921/44, 414/313 is

LCM of Numerators i.e. for 802,921,414 is 50966298

GCF of denominators i.e. for 39,44,313 is 1.

Thus, LCM of Fractions is 50966298.Finally, LCM of Fractions for 802/39, 921/44, 414/313 is 50966298.