Least Common Multiple of 584/34, 168/87, 420/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/34, 168/87, 420/646 quickly i.e. 61320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/34, 168/87, 420/646 is 61320.

LCM(584/34, 168/87, 420/646) = 61320

LCM of 584/34, 168/87, 420/646

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 584/34,168/87,420/646

Given numbers are 584/34,168/87,420/646

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 584,168,420

Least Common Multiple of Numerators i.e. LCM of 584,168,420 is 61320.

GCF of Denominators means GCF of 34,87,646 as per the given fractions.

GCF of 34,87,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,168,420

LCM of Fractions 584/34,168/87,420/646 is 61320

2 584, 168, 420
2 292, 84, 210
2 146, 42, 105
3 73, 21, 105
7 73, 7, 35
73, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 73 x 1 x 5 = 61320

Least Common Multiple of 584,168,420 with GCF Formula

Least Common Multiple of 584,168,420 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 584,168,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,168,420) = 4

common factors(in case of two or more numbers have common factors) = 168

GCF(584,168,420) x common factors =4 x 168 = 672

LCM(584,168,420) = ( 584 × 168 × 420 ) / 672

LCM(584,168,420) = 41207040 / 672

LCM(584,168,420) = 61320


Lets's calculate GCF of 34,87,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61320/1

Therefore the LCM of Fractions 584/34,168/87,420/646 is 61320

Greatest Common Factor of 34,87,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,87,646 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 34,87,646 . The biggest common factor number is the GCF number.
So the greatest common factor 34,87,646 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 584/34, 168/87, 420/646

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 584/34, 168/87, 420/646?

Answer: LCM of Numerators as per given numbers 584/34, 168/87, 420/646 is

LCM of Numerators i.e. for 584,168,420 is 61320

GCF of denominators i.e. for 34,87,646 is 1.

Thus, LCM of Fractions is 61320.Finally, LCM of Fractions for 584/34, 168/87, 420/646 is 61320.