Least Common Multiple of 65/798, 498/567, 321/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/798, 498/567, 321/248 quickly i.e. 3463590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/798, 498/567, 321/248 is 3463590.

LCM(65/798, 498/567, 321/248) = 3463590

LCM of 65/798, 498/567, 321/248

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 65/798,498/567,321/248

Given numbers are 65/798,498/567,321/248

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 65,498,321

Least Common Multiple of Numerators i.e. LCM of 65,498,321 is 3463590.

GCF of Denominators means GCF of 798,567,248 as per the given fractions.

GCF of 798,567,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,498,321

LCM of Fractions 65/798,498/567,321/248 is 3463590

3 65, 498, 321
65, 166, 107

∴ So the LCM of the given numbers is 3 x 65 x 166 x 107 = 3463590

Least Common Multiple of 65,498,321 with GCF Formula

Least Common Multiple of 65,498,321 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 65,498,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,498,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(65,498,321) x common factors =1 x 3 = 3

LCM(65,498,321) = ( 65 × 498 × 321 ) / 3

LCM(65,498,321) = 10390770 / 3

LCM(65,498,321) = 3463590


Lets's calculate GCF of 798,567,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3463590/1

Therefore the LCM of Fractions 65/798,498/567,321/248 is 3463590

Greatest Common Factor of 798,567,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,567,248 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 798,567,248 . The biggest common factor number is the GCF number.
So the greatest common factor 798,567,248 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 65/798, 498/567, 321/248

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 65/798, 498/567, 321/248?

Answer: LCM of Numerators as per given numbers 65/798, 498/567, 321/248 is

LCM of Numerators i.e. for 65,498,321 is 3463590

GCF of denominators i.e. for 798,567,248 is 1.

Thus, LCM of Fractions is 3463590.Finally, LCM of Fractions for 65/798, 498/567, 321/248 is 3463590.