Least Common Multiple of 514/21, 699/84, 472/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/21, 699/84, 472/214 quickly i.e. 84791496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/21, 699/84, 472/214 is 84791496.

LCM(514/21, 699/84, 472/214) = 84791496

LCM of 514/21, 699/84, 472/214

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 514/21,699/84,472/214

Given numbers are 514/21,699/84,472/214

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 514,699,472

Least Common Multiple of Numerators i.e. LCM of 514,699,472 is 84791496.

GCF of Denominators means GCF of 21,84,214 as per the given fractions.

GCF of 21,84,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,699,472

LCM of Fractions 514/21,699/84,472/214 is 84791496

2 514, 699, 472
257, 699, 236

∴ So the LCM of the given numbers is 2 x 257 x 699 x 236 = 84791496

Least Common Multiple of 514,699,472 with GCF Formula

Least Common Multiple of 514,699,472 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 514,699,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,699,472) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(514,699,472) x common factors =1 x 2 = 2

LCM(514,699,472) = ( 514 × 699 × 472 ) / 2

LCM(514,699,472) = 169582992 / 2

LCM(514,699,472) = 84791496


Lets's calculate GCF of 21,84,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84791496/1

Therefore the LCM of Fractions 514/21,699/84,472/214 is 84791496

Greatest Common Factor of 21,84,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,84,214 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 21,84,214 . The biggest common factor number is the GCF number.
So the greatest common factor 21,84,214 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 514/21, 699/84, 472/214

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 514/21, 699/84, 472/214?

Answer: LCM of Numerators as per given numbers 514/21, 699/84, 472/214 is

LCM of Numerators i.e. for 514,699,472 is 84791496

GCF of denominators i.e. for 21,84,214 is 1.

Thus, LCM of Fractions is 84791496.Finally, LCM of Fractions for 514/21, 699/84, 472/214 is 84791496.