Least Common Multiple of 585/84, 140/72, 472/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/84, 140/72, 472/914 quickly i.e. 966420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/84, 140/72, 472/914 is 966420.

LCM(585/84, 140/72, 472/914) = 966420

LCM of 585/84, 140/72, 472/914

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 585/84,140/72,472/914

Given numbers are 585/84,140/72,472/914

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 585,140,472

Least Common Multiple of Numerators i.e. LCM of 585,140,472 is 1932840.

GCF of Denominators means GCF of 84,72,914 as per the given fractions.

GCF of 84,72,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,140,472

LCM of Fractions 585/84,140/72,472/914 is 966420

2 585, 140, 472
2 585, 70, 236
5 585, 35, 118
117, 7, 118

∴ So the LCM of the given numbers is 2 x 2 x 5 x 117 x 7 x 118 = 1932840

Least Common Multiple of 585,140,472 with GCF Formula

Least Common Multiple of 585,140,472 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 585,140,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,140,472) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(585,140,472) x common factors =1 x 20 = 20

LCM(585,140,472) = ( 585 × 140 × 472 ) / 20

LCM(585,140,472) = 38656800 / 20

LCM(585,140,472) = 1932840


Lets's calculate GCF of 84,72,914

2 84, 72, 914
42, 36, 457

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1932840/2

Therefore the LCM of Fractions 585/84,140/72,472/914 is 966420

Greatest Common Factor of 84,72,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,72,914 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 84,72,914 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,914 is 2.


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 585/84, 140/72, 472/914

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 585/84, 140/72, 472/914?

Answer: LCM of Numerators as per given numbers 585/84, 140/72, 472/914 is

LCM of Numerators i.e. for 585,140,472 is 1932840

GCF of denominators i.e. for 84,72,914 is 2.

Thus, LCM of Fractions is 966420.Finally, LCM of Fractions for 585/84, 140/72, 472/914 is 966420.