Least Common Multiple of 84/417, 423/430, 761/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/417, 423/430, 761/516 quickly i.e. 9013284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/417, 423/430, 761/516 is 9013284.

LCM(84/417, 423/430, 761/516) = 9013284

LCM of 84/417, 423/430, 761/516

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 84/417,423/430,761/516

Given numbers are 84/417,423/430,761/516

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 84,423,761

Least Common Multiple of Numerators i.e. LCM of 84,423,761 is 9013284.

GCF of Denominators means GCF of 417,430,516 as per the given fractions.

GCF of 417,430,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,423,761

LCM of Fractions 84/417,423/430,761/516 is 9013284

3 84, 423, 761
28, 141, 761

∴ So the LCM of the given numbers is 3 x 28 x 141 x 761 = 9013284

Least Common Multiple of 84,423,761 with GCF Formula

Least Common Multiple of 84,423,761 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 84,423,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,423,761) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,423,761) x common factors =1 x 3 = 3

LCM(84,423,761) = ( 84 × 423 × 761 ) / 3

LCM(84,423,761) = 27039852 / 3

LCM(84,423,761) = 9013284


Lets's calculate GCF of 417,430,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9013284/1

Therefore the LCM of Fractions 84/417,423/430,761/516 is 9013284

Greatest Common Factor of 417,430,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,430,516 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 417,430,516 . The biggest common factor number is the GCF number.
So the greatest common factor 417,430,516 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 84/417, 423/430, 761/516

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 84/417, 423/430, 761/516?

Answer: LCM of Numerators as per given numbers 84/417, 423/430, 761/516 is

LCM of Numerators i.e. for 84,423,761 is 9013284

GCF of denominators i.e. for 417,430,516 is 1.

Thus, LCM of Fractions is 9013284.Finally, LCM of Fractions for 84/417, 423/430, 761/516 is 9013284.