Least Common Multiple of 802/42, 536/17, 300/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/42, 536/17, 300/744 quickly i.e. 16120200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/42, 536/17, 300/744 is 16120200.

LCM(802/42, 536/17, 300/744) = 16120200

LCM of 802/42, 536/17, 300/744

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 802/42,536/17,300/744

Given numbers are 802/42,536/17,300/744

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 802,536,300

Least Common Multiple of Numerators i.e. LCM of 802,536,300 is 16120200.

GCF of Denominators means GCF of 42,17,744 as per the given fractions.

GCF of 42,17,744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,536,300

LCM of Fractions 802/42,536/17,300/744 is 16120200

2 802, 536, 300
2 401, 268, 150
401, 134, 75

∴ So the LCM of the given numbers is 2 x 2 x 401 x 134 x 75 = 16120200

Least Common Multiple of 802,536,300 with GCF Formula

Least Common Multiple of 802,536,300 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 802,536,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,536,300) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(802,536,300) x common factors =2 x 4 = 8

LCM(802,536,300) = ( 802 × 536 × 300 ) / 8

LCM(802,536,300) = 128961600 / 8

LCM(802,536,300) = 16120200


Lets's calculate GCF of 42,17,744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16120200/1

Therefore the LCM of Fractions 802/42,536/17,300/744 is 16120200

Greatest Common Factor of 42,17,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,17,744 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 42,17,744 . The biggest common factor number is the GCF number.
So the greatest common factor 42,17,744 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 802/42, 536/17, 300/744

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 802/42, 536/17, 300/744?

Answer: LCM of Numerators as per given numbers 802/42, 536/17, 300/744 is

LCM of Numerators i.e. for 802,536,300 is 16120200

GCF of denominators i.e. for 42,17,744 is 1.

Thus, LCM of Fractions is 16120200.Finally, LCM of Fractions for 802/42, 536/17, 300/744 is 16120200.