Least Common Multiple of 536/40, 802/9548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/40, 802/9548 quickly i.e. 53734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/40, 802/9548 is 53734.

LCM(536/40, 802/9548) = 53734

LCM of 536/40, 802/9548

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 536/40,802/9548

Given numbers are 536/40,802/9548

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 536,802

Least Common Multiple of Numerators i.e. LCM of 536,802 is 214936.

GCF of Denominators means GCF of 40,9548 as per the given fractions.

GCF of 40,9548 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,802

LCM of Fractions 536/40,802/9548 is 53734

2 536, 802
268, 401

∴ So the LCM of the given numbers is 2 x 268 x 401 = 214936

Least Common Multiple of 536,802 with GCF Formula

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

GCF(536,802) = 2

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

GCF(536,802) x common factors =2 x 1 = 2

LCM(536,802) = ( 536 × 802 ) / 2

LCM(536,802) = 429872 / 2

LCM(536,802) = 214936


Lets's calculate GCF of 40,9548

2 40, 9548
2 20, 4774
10, 2387

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214936/4

Therefore the LCM of Fractions 536/40,802/9548 is 53734

Greatest Common Factor of 40,9548 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9548 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9548

List of positive integer factors of 9548 that divides 9548 without a remainder.

1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548

Greatest Common Factor

We found the factors 40,9548 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9548 is 4.


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 536/40, 802/9548

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 536/40, 802/9548?

Answer: LCM of Numerators as per given numbers 536/40, 802/9548 is

LCM of Numerators i.e. for 536,802 is 214936

GCF of denominators i.e. for 40,9548 is 4.

Thus, LCM of Fractions is 53734.Finally, LCM of Fractions for 536/40, 802/9548 is 53734.