Least Common Multiple of 802/10, 677/2402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/10, 677/2402 quickly i.e. 271477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/10, 677/2402 is 271477.

LCM(802/10, 677/2402) = 271477

LCM of 802/10, 677/2402

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 802/10,677/2402

Given numbers are 802/10,677/2402

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 802,677

Least Common Multiple of Numerators i.e. LCM of 802,677 is 542954.

GCF of Denominators means GCF of 10,2402 as per the given fractions.

GCF of 10,2402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,677

LCM of Fractions 802/10,677/2402 is 271477

Given numbers has no common factors except 1. So, there LCM is their product i.e 542954

Least Common Multiple of 802,677 with GCF Formula

Least Common Multiple of 802,677 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 802,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,677) = 1

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

GCF(802,677) x common factors =1 x 1 = 1

LCM(802,677) = ( 802 × 677 ) / 1

LCM(802,677) = 542954 / 1

LCM(802,677) = 542954


Lets's calculate GCF of 10,2402

2 10, 2402
5, 1201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 542954/2

Therefore the LCM of Fractions 802/10,677/2402 is 271477

Greatest Common Factor of 10,2402 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,2402 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 2402

List of positive integer factors of 2402 that divides 2402 without a remainder.

1,2,1201,2402

Greatest Common Factor

We found the factors 10,2402 . The biggest common factor number is the GCF number.
So the greatest common factor 10,2402 is 2.


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 802/10, 677/2402

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 802/10, 677/2402?

Answer: LCM of Numerators as per given numbers 802/10, 677/2402 is

LCM of Numerators i.e. for 802,677 is 542954

GCF of denominators i.e. for 10,2402 is 2.

Thus, LCM of Fractions is 271477.Finally, LCM of Fractions for 802/10, 677/2402 is 271477.