Least Common Multiple of 1650/585, 3408/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1650/585, 3408/124 quickly i.e. 937200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1650/585, 3408/124 is 937200.

LCM(1650/585, 3408/124) = 937200

LCM of 1650/585, 3408/124

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 1650/585,3408/124

Given numbers are 1650/585,3408/124

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 1650,3408

Least Common Multiple of Numerators i.e. LCM of 1650,3408 is 937200.

GCF of Denominators means GCF of 585,124 as per the given fractions.

GCF of 585,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1650,3408

LCM of Fractions 1650/585,3408/124 is 937200

2 1650, 3408
3 825, 1704
275, 568

∴ So the LCM of the given numbers is 2 x 3 x 275 x 568 = 937200

Least Common Multiple of 1650,3408 with GCF Formula

Least Common Multiple of 1650,3408 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 1650,3408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1650,3408) = 6

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

GCF(1650,3408) x common factors =6 x 1 = 6

LCM(1650,3408) = ( 1650 × 3408 ) / 6

LCM(1650,3408) = 5623200 / 6

LCM(1650,3408) = 937200


Lets's calculate GCF of 585,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 937200/1

Therefore the LCM of Fractions 1650/585,3408/124 is 937200

Greatest Common Factor of 585,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,124 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 585,124 . The biggest common factor number is the GCF number.
So the greatest common factor 585,124 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 1650/585, 3408/124

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 1650/585, 3408/124?

Answer: LCM of Numerators as per given numbers 1650/585, 3408/124 is

LCM of Numerators i.e. for 1650,3408 is 937200

GCF of denominators i.e. for 585,124 is 1.

Thus, LCM of Fractions is 937200.Finally, LCM of Fractions for 1650/585, 3408/124 is 937200.