Least Common Multiple of 388/623, 828/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/623, 828/890 quickly i.e. 80316/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/623, 828/890 is 80316/89.

LCM(388/623, 828/890) = 80316/89

LCM of 388/623, 828/890

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 388/623,828/890

Given numbers are 388/623,828/890

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 388,828

Least Common Multiple of Numerators i.e. LCM of 388,828 is 80316.

GCF of Denominators means GCF of 623,890 as per the given fractions.

GCF of 623,890 is 89 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,828

LCM of Fractions 388/623,828/890 is 80316/89

2 388, 828
2 194, 414
97, 207

∴ So the LCM of the given numbers is 2 x 2 x 97 x 207 = 80316

Least Common Multiple of 388,828 with GCF Formula

Least Common Multiple of 388,828 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 388,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,828) = 4

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

GCF(388,828) x common factors =4 x 1 = 4

LCM(388,828) = ( 388 × 828 ) / 4

LCM(388,828) = 321264 / 4

LCM(388,828) = 80316


Lets's calculate GCF of 623,890

89 623, 890
7, 10

∴ So the GCF of the given numbers is 89 = 89

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80316/89

Therefore the LCM of Fractions 388/623,828/890 is 80316/89

Greatest Common Factor of 623,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,890 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

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 623,890 . The biggest common factor number is the GCF number.
So the greatest common factor 623,890 is 89.


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 388/623, 828/890

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 388/623, 828/890?

Answer: LCM of Numerators as per given numbers 388/623, 828/890 is

LCM of Numerators i.e. for 388,828 is 80316

GCF of denominators i.e. for 623,890 is 89.

Thus, LCM of Fractions is 80316/89.Finally, LCM of Fractions for 388/623, 828/890 is 80316/89.