Least Common Multiple of 75/398, 635/341, 506/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/398, 635/341, 506/585 quickly i.e. 4819650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/398, 635/341, 506/585 is 4819650.

LCM(75/398, 635/341, 506/585) = 4819650

LCM of 75/398, 635/341, 506/585

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 75/398,635/341,506/585

Given numbers are 75/398,635/341,506/585

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 75,635,506

Least Common Multiple of Numerators i.e. LCM of 75,635,506 is 4819650.

GCF of Denominators means GCF of 398,341,585 as per the given fractions.

GCF of 398,341,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,635,506

LCM of Fractions 75/398,635/341,506/585 is 4819650

5 75, 635, 506
15, 127, 506

∴ So the LCM of the given numbers is 5 x 15 x 127 x 506 = 4819650

Least Common Multiple of 75,635,506 with GCF Formula

Least Common Multiple of 75,635,506 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 75,635,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,635,506) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,635,506) x common factors =1 x 5 = 5

LCM(75,635,506) = ( 75 × 635 × 506 ) / 5

LCM(75,635,506) = 24098250 / 5

LCM(75,635,506) = 4819650


Lets's calculate GCF of 398,341,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4819650/1

Therefore the LCM of Fractions 75/398,635/341,506/585 is 4819650

Greatest Common Factor of 398,341,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,341,585 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

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

Greatest Common Factor

We found the factors 398,341,585 . The biggest common factor number is the GCF number.
So the greatest common factor 398,341,585 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 75/398, 635/341, 506/585

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 75/398, 635/341, 506/585?

Answer: LCM of Numerators as per given numbers 75/398, 635/341, 506/585 is

LCM of Numerators i.e. for 75,635,506 is 4819650

GCF of denominators i.e. for 398,341,585 is 1.

Thus, LCM of Fractions is 4819650.Finally, LCM of Fractions for 75/398, 635/341, 506/585 is 4819650.