Least Common Multiple of 1230/570, 2642/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1230/570, 2642/412 quickly i.e. 812415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1230/570, 2642/412 is 812415.

LCM(1230/570, 2642/412) = 812415

LCM of 1230/570, 2642/412

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 1230/570,2642/412

Given numbers are 1230/570,2642/412

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 1230,2642

Least Common Multiple of Numerators i.e. LCM of 1230,2642 is 1624830.

GCF of Denominators means GCF of 570,412 as per the given fractions.

GCF of 570,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1230,2642

LCM of Fractions 1230/570,2642/412 is 812415

2 1230, 2642
615, 1321

∴ So the LCM of the given numbers is 2 x 615 x 1321 = 1624830

Least Common Multiple of 1230,2642 with GCF Formula

Least Common Multiple of 1230,2642 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 1230,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1230,2642) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1230,2642) x common factors =2 x 1 = 2

LCM(1230,2642) = ( 1230 × 2642 ) / 2

LCM(1230,2642) = 3249660 / 2

LCM(1230,2642) = 1624830


Lets's calculate GCF of 570,412

2 570, 412
285, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1624830/2

Therefore the LCM of Fractions 1230/570,2642/412 is 812415

Greatest Common Factor of 570,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,412 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 570,412 . The biggest common factor number is the GCF number.
So the greatest common factor 570,412 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 1230/570, 2642/412

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 1230/570, 2642/412?

Answer: LCM of Numerators as per given numbers 1230/570, 2642/412 is

LCM of Numerators i.e. for 1230,2642 is 1624830

GCF of denominators i.e. for 570,412 is 2.

Thus, LCM of Fractions is 812415.Finally, LCM of Fractions for 1230/570, 2642/412 is 812415.