Least Common Multiple of 562/10, 140/22, 585/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/10, 140/22, 585/848 quickly i.e. 2301390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/10, 140/22, 585/848 is 2301390.

LCM(562/10, 140/22, 585/848) = 2301390

LCM of 562/10, 140/22, 585/848

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 562/10,140/22,585/848

Given numbers are 562/10,140/22,585/848

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 562,140,585

Least Common Multiple of Numerators i.e. LCM of 562,140,585 is 4602780.

GCF of Denominators means GCF of 10,22,848 as per the given fractions.

GCF of 10,22,848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,140,585

LCM of Fractions 562/10,140/22,585/848 is 2301390

2 562, 140, 585
5 281, 70, 585
281, 14, 117

∴ So the LCM of the given numbers is 2 x 5 x 281 x 14 x 117 = 4602780

Least Common Multiple of 562,140,585 with GCF Formula

Least Common Multiple of 562,140,585 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 562,140,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,140,585) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(562,140,585) x common factors =1 x 10 = 10

LCM(562,140,585) = ( 562 × 140 × 585 ) / 10

LCM(562,140,585) = 46027800 / 10

LCM(562,140,585) = 4602780


Lets's calculate GCF of 10,22,848

2 10, 22, 848
5, 11, 424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4602780/2

Therefore the LCM of Fractions 562/10,140/22,585/848 is 2301390

Greatest Common Factor of 10,22,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,22,848 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 10,22,848 . The biggest common factor number is the GCF number.
So the greatest common factor 10,22,848 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 562/10, 140/22, 585/848

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 562/10, 140/22, 585/848?

Answer: LCM of Numerators as per given numbers 562/10, 140/22, 585/848 is

LCM of Numerators i.e. for 562,140,585 is 4602780

GCF of denominators i.e. for 10,22,848 is 2.

Thus, LCM of Fractions is 2301390.Finally, LCM of Fractions for 562/10, 140/22, 585/848 is 2301390.