Least Common Multiple of 678/362, 7904/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/362, 7904/890 quickly i.e. 1339728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/362, 7904/890 is 1339728.

LCM(678/362, 7904/890) = 1339728

LCM of 678/362, 7904/890

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 678/362,7904/890

Given numbers are 678/362,7904/890

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 678,7904

Least Common Multiple of Numerators i.e. LCM of 678,7904 is 2679456.

GCF of Denominators means GCF of 362,890 as per the given fractions.

GCF of 362,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,7904

LCM of Fractions 678/362,7904/890 is 1339728

2 678, 7904
339, 3952

∴ So the LCM of the given numbers is 2 x 339 x 3952 = 2679456

Least Common Multiple of 678,7904 with GCF Formula

Least Common Multiple of 678,7904 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 678,7904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,7904) = 2

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

GCF(678,7904) x common factors =2 x 1 = 2

LCM(678,7904) = ( 678 × 7904 ) / 2

LCM(678,7904) = 5358912 / 2

LCM(678,7904) = 2679456


Lets's calculate GCF of 362,890

2 362, 890
181, 445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2679456/2

Therefore the LCM of Fractions 678/362,7904/890 is 1339728

Greatest Common Factor of 362,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,890 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 362,890 . The biggest common factor number is the GCF number.
So the greatest common factor 362,890 is 2.


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 678/362, 7904/890

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 678/362, 7904/890?

Answer: LCM of Numerators as per given numbers 678/362, 7904/890 is

LCM of Numerators i.e. for 678,7904 is 2679456

GCF of denominators i.e. for 362,890 is 2.

Thus, LCM of Fractions is 1339728.Finally, LCM of Fractions for 678/362, 7904/890 is 1339728.