Least Common Multiple of 802/535, 2657/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/535, 2657/892 quickly i.e. 2130914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/535, 2657/892 is 2130914.

LCM(802/535, 2657/892) = 2130914

LCM of 802/535, 2657/892

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 802/535,2657/892

Given numbers are 802/535,2657/892

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 802,2657

Least Common Multiple of Numerators i.e. LCM of 802,2657 is 2130914.

GCF of Denominators means GCF of 535,892 as per the given fractions.

GCF of 535,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,2657

LCM of Fractions 802/535,2657/892 is 2130914

Given numbers has no common factors except 1. So, there LCM is their product i.e 2130914

Least Common Multiple of 802,2657 with GCF Formula

Least Common Multiple of 802,2657 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 802,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,2657) = 1

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

GCF(802,2657) x common factors =1 x 1 = 1

LCM(802,2657) = ( 802 × 2657 ) / 1

LCM(802,2657) = 2130914 / 1

LCM(802,2657) = 2130914


Lets's calculate GCF of 535,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2130914/1

Therefore the LCM of Fractions 802/535,2657/892 is 2130914

Greatest Common Factor of 535,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,892 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 535,892 . The biggest common factor number is the GCF number.
So the greatest common factor 535,892 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/535, 2657/892

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 802/535, 2657/892?

Answer: LCM of Numerators as per given numbers 802/535, 2657/892 is

LCM of Numerators i.e. for 802,2657 is 2130914

GCF of denominators i.e. for 535,892 is 1.

Thus, LCM of Fractions is 2130914.Finally, LCM of Fractions for 802/535, 2657/892 is 2130914.