Least Common Multiple of 430/84, 290/32, 516/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/84, 290/32, 516/397 quickly i.e. 74820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/84, 290/32, 516/397 is 74820.

LCM(430/84, 290/32, 516/397) = 74820

LCM of 430/84, 290/32, 516/397

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 430/84,290/32,516/397

Given numbers are 430/84,290/32,516/397

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 430,290,516

Least Common Multiple of Numerators i.e. LCM of 430,290,516 is 74820.

GCF of Denominators means GCF of 84,32,397 as per the given fractions.

GCF of 84,32,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,290,516

LCM of Fractions 430/84,290/32,516/397 is 74820

2 430, 290, 516
5 215, 145, 258
43 43, 29, 258
1, 29, 6

∴ So the LCM of the given numbers is 2 x 5 x 43 x 1 x 29 x 6 = 74820

Least Common Multiple of 430,290,516 with GCF Formula

Least Common Multiple of 430,290,516 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 430,290,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,290,516) = 2

common factors(in case of two or more numbers have common factors) = 430

GCF(430,290,516) x common factors =2 x 430 = 860

LCM(430,290,516) = ( 430 × 290 × 516 ) / 860

LCM(430,290,516) = 64345200 / 860

LCM(430,290,516) = 74820


Lets's calculate GCF of 84,32,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74820/1

Therefore the LCM of Fractions 430/84,290/32,516/397 is 74820

Greatest Common Factor of 84,32,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,32,397 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 84,32,397 . The biggest common factor number is the GCF number.
So the greatest common factor 84,32,397 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 430/84, 290/32, 516/397

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 430/84, 290/32, 516/397?

Answer: LCM of Numerators as per given numbers 430/84, 290/32, 516/397 is

LCM of Numerators i.e. for 430,290,516 is 74820

GCF of denominators i.e. for 84,32,397 is 1.

Thus, LCM of Fractions is 74820.Finally, LCM of Fractions for 430/84, 290/32, 516/397 is 74820.