Least Common Multiple of 78/426, 65/329, 290/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/426, 65/329, 290/211 quickly i.e. 11310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/426, 65/329, 290/211 is 11310.

LCM(78/426, 65/329, 290/211) = 11310

LCM of 78/426, 65/329, 290/211

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 78/426,65/329,290/211

Given numbers are 78/426,65/329,290/211

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 78,65,290

Least Common Multiple of Numerators i.e. LCM of 78,65,290 is 11310.

GCF of Denominators means GCF of 426,329,211 as per the given fractions.

GCF of 426,329,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,65,290

LCM of Fractions 78/426,65/329,290/211 is 11310

2 78, 65, 290
5 39, 65, 145
13 39, 13, 29
3, 1, 29

∴ So the LCM of the given numbers is 2 x 5 x 13 x 3 x 1 x 29 = 11310

Least Common Multiple of 78,65,290 with GCF Formula

Least Common Multiple of 78,65,290 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 78,65,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,65,290) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(78,65,290) x common factors =1 x 130 = 130

LCM(78,65,290) = ( 78 × 65 × 290 ) / 130

LCM(78,65,290) = 1470300 / 130

LCM(78,65,290) = 11310


Lets's calculate GCF of 426,329,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11310/1

Therefore the LCM of Fractions 78/426,65/329,290/211 is 11310

Greatest Common Factor of 426,329,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,329,211 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 426,329,211 . The biggest common factor number is the GCF number.
So the greatest common factor 426,329,211 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 78/426, 65/329, 290/211

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 78/426, 65/329, 290/211?

Answer: LCM of Numerators as per given numbers 78/426, 65/329, 290/211 is

LCM of Numerators i.e. for 78,65,290 is 11310

GCF of denominators i.e. for 426,329,211 is 1.

Thus, LCM of Fractions is 11310.Finally, LCM of Fractions for 78/426, 65/329, 290/211 is 11310.