Least Common Multiple of 78/802, 784/397, 881/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/802, 784/397, 881/421 quickly i.e. 26937456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/802, 784/397, 881/421 is 26937456.

LCM(78/802, 784/397, 881/421) = 26937456

LCM of 78/802, 784/397, 881/421

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 78/802,784/397,881/421

Given numbers are 78/802,784/397,881/421

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 78,784,881

Least Common Multiple of Numerators i.e. LCM of 78,784,881 is 26937456.

GCF of Denominators means GCF of 802,397,421 as per the given fractions.

GCF of 802,397,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,784,881

LCM of Fractions 78/802,784/397,881/421 is 26937456

2 78, 784, 881
39, 392, 881

∴ So the LCM of the given numbers is 2 x 39 x 392 x 881 = 26937456

Least Common Multiple of 78,784,881 with GCF Formula

Least Common Multiple of 78,784,881 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 78,784,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,784,881) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,784,881) x common factors =1 x 2 = 2

LCM(78,784,881) = ( 78 × 784 × 881 ) / 2

LCM(78,784,881) = 53874912 / 2

LCM(78,784,881) = 26937456


Lets's calculate GCF of 802,397,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26937456/1

Therefore the LCM of Fractions 78/802,784/397,881/421 is 26937456

Greatest Common Factor of 802,397,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,397,421 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 802,397,421 . The biggest common factor number is the GCF number.
So the greatest common factor 802,397,421 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 78/802, 784/397, 881/421

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 78/802, 784/397, 881/421?

Answer: LCM of Numerators as per given numbers 78/802, 784/397, 881/421 is

LCM of Numerators i.e. for 78,784,881 is 26937456

GCF of denominators i.e. for 802,397,421 is 1.

Thus, LCM of Fractions is 26937456.Finally, LCM of Fractions for 78/802, 784/397, 881/421 is 26937456.