Least Common Multiple of 280/98, 600/75, 817/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/98, 600/75, 817/414 quickly i.e. 3431400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/98, 600/75, 817/414 is 3431400.

LCM(280/98, 600/75, 817/414) = 3431400

LCM of 280/98, 600/75, 817/414

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 280/98,600/75,817/414

Given numbers are 280/98,600/75,817/414

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 280,600,817

Least Common Multiple of Numerators i.e. LCM of 280,600,817 is 3431400.

GCF of Denominators means GCF of 98,75,414 as per the given fractions.

GCF of 98,75,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,600,817

LCM of Fractions 280/98,600/75,817/414 is 3431400

2 280, 600, 817
2 140, 300, 817
2 70, 150, 817
5 35, 75, 817
7, 15, 817

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 15 x 817 = 3431400

Least Common Multiple of 280,600,817 with GCF Formula

Least Common Multiple of 280,600,817 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 280,600,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,600,817) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(280,600,817) x common factors =1 x 40 = 40

LCM(280,600,817) = ( 280 × 600 × 817 ) / 40

LCM(280,600,817) = 137256000 / 40

LCM(280,600,817) = 3431400


Lets's calculate GCF of 98,75,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3431400/1

Therefore the LCM of Fractions 280/98,600/75,817/414 is 3431400

Greatest Common Factor of 98,75,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,75,414 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 98,75,414 . The biggest common factor number is the GCF number.
So the greatest common factor 98,75,414 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 280/98, 600/75, 817/414

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 280/98, 600/75, 817/414?

Answer: LCM of Numerators as per given numbers 280/98, 600/75, 817/414 is

LCM of Numerators i.e. for 280,600,817 is 3431400

GCF of denominators i.e. for 98,75,414 is 1.

Thus, LCM of Fractions is 3431400.Finally, LCM of Fractions for 280/98, 600/75, 817/414 is 3431400.