Least Common Multiple of 304/751, 698/595, 990/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/751, 698/595, 990/623 quickly i.e. 52517520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/751, 698/595, 990/623 is 52517520.

LCM(304/751, 698/595, 990/623) = 52517520

LCM of 304/751, 698/595, 990/623

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 304/751,698/595,990/623

Given numbers are 304/751,698/595,990/623

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 304,698,990

Least Common Multiple of Numerators i.e. LCM of 304,698,990 is 52517520.

GCF of Denominators means GCF of 751,595,623 as per the given fractions.

GCF of 751,595,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,698,990

LCM of Fractions 304/751,698/595,990/623 is 52517520

2 304, 698, 990
152, 349, 495

∴ So the LCM of the given numbers is 2 x 152 x 349 x 495 = 52517520

Least Common Multiple of 304,698,990 with GCF Formula

Least Common Multiple of 304,698,990 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 304,698,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,698,990) = 2

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

GCF(304,698,990) x common factors =2 x 2 = 4

LCM(304,698,990) = ( 304 × 698 × 990 ) / 4

LCM(304,698,990) = 210070080 / 4

LCM(304,698,990) = 52517520


Lets's calculate GCF of 751,595,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52517520/1

Therefore the LCM of Fractions 304/751,698/595,990/623 is 52517520

Greatest Common Factor of 751,595,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,595,623 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 623

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

1,7,89,623

Greatest Common Factor

We found the factors 751,595,623 . The biggest common factor number is the GCF number.
So the greatest common factor 751,595,623 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 304/751, 698/595, 990/623

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 304/751, 698/595, 990/623?

Answer: LCM of Numerators as per given numbers 304/751, 698/595, 990/623 is

LCM of Numerators i.e. for 304,698,990 is 52517520

GCF of denominators i.e. for 751,595,623 is 1.

Thus, LCM of Fractions is 52517520.Finally, LCM of Fractions for 304/751, 698/595, 990/623 is 52517520.