Least Common Multiple of 514/33, 980/32, 408/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/33, 980/32, 408/71 quickly i.e. 25689720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/33, 980/32, 408/71 is 25689720.

LCM(514/33, 980/32, 408/71) = 25689720

LCM of 514/33, 980/32, 408/71

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 514/33,980/32,408/71

Given numbers are 514/33,980/32,408/71

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 514,980,408

Least Common Multiple of Numerators i.e. LCM of 514,980,408 is 25689720.

GCF of Denominators means GCF of 33,32,71 as per the given fractions.

GCF of 33,32,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,980,408

LCM of Fractions 514/33,980/32,408/71 is 25689720

2 514, 980, 408
2 257, 490, 204
257, 245, 102

∴ So the LCM of the given numbers is 2 x 2 x 257 x 245 x 102 = 25689720

Least Common Multiple of 514,980,408 with GCF Formula

Least Common Multiple of 514,980,408 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 514,980,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,980,408) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(514,980,408) x common factors =2 x 4 = 8

LCM(514,980,408) = ( 514 × 980 × 408 ) / 8

LCM(514,980,408) = 205517760 / 8

LCM(514,980,408) = 25689720


Lets's calculate GCF of 33,32,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25689720/1

Therefore the LCM of Fractions 514/33,980/32,408/71 is 25689720

Greatest Common Factor of 33,32,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,32,71 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 32

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

1,2,4,8,16,32

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 33,32,71 . The biggest common factor number is the GCF number.
So the greatest common factor 33,32,71 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 514/33, 980/32, 408/71

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 514/33, 980/32, 408/71?

Answer: LCM of Numerators as per given numbers 514/33, 980/32, 408/71 is

LCM of Numerators i.e. for 514,980,408 is 25689720

GCF of denominators i.e. for 33,32,71 is 1.

Thus, LCM of Fractions is 25689720.Finally, LCM of Fractions for 514/33, 980/32, 408/71 is 25689720.