Least Common Multiple of 340/91, 290/78, 232/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/91, 290/78, 232/493 quickly i.e. 19720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/91, 290/78, 232/493 is 19720.

LCM(340/91, 290/78, 232/493) = 19720

LCM of 340/91, 290/78, 232/493

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 340/91,290/78,232/493

Given numbers are 340/91,290/78,232/493

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 340,290,232

Least Common Multiple of Numerators i.e. LCM of 340,290,232 is 19720.

GCF of Denominators means GCF of 91,78,493 as per the given fractions.

GCF of 91,78,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,290,232

LCM of Fractions 340/91,290/78,232/493 is 19720

2 340, 290, 232
2 170, 145, 116
5 85, 145, 58
29 17, 29, 58
17, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 17 x 1 x 2 = 19720

Least Common Multiple of 340,290,232 with GCF Formula

Least Common Multiple of 340,290,232 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 340,290,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,290,232) = 2

common factors(in case of two or more numbers have common factors) = 580

GCF(340,290,232) x common factors =2 x 580 = 1160

LCM(340,290,232) = ( 340 × 290 × 232 ) / 1160

LCM(340,290,232) = 22875200 / 1160

LCM(340,290,232) = 19720


Lets's calculate GCF of 91,78,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19720/1

Therefore the LCM of Fractions 340/91,290/78,232/493 is 19720

Greatest Common Factor of 91,78,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,78,493 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 91,78,493 . The biggest common factor number is the GCF number.
So the greatest common factor 91,78,493 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 340/91, 290/78, 232/493

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 340/91, 290/78, 232/493?

Answer: LCM of Numerators as per given numbers 340/91, 290/78, 232/493 is

LCM of Numerators i.e. for 340,290,232 is 19720

GCF of denominators i.e. for 91,78,493 is 1.

Thus, LCM of Fractions is 19720.Finally, LCM of Fractions for 340/91, 290/78, 232/493 is 19720.