Least Common Multiple of 98/216, 280/825, 909/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/216, 280/825, 909/257 quickly i.e. 1781640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/216, 280/825, 909/257 is 1781640.

LCM(98/216, 280/825, 909/257) = 1781640

LCM of 98/216, 280/825, 909/257

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 98/216,280/825,909/257

Given numbers are 98/216,280/825,909/257

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 98,280,909

Least Common Multiple of Numerators i.e. LCM of 98,280,909 is 1781640.

GCF of Denominators means GCF of 216,825,257 as per the given fractions.

GCF of 216,825,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,280,909

LCM of Fractions 98/216,280/825,909/257 is 1781640

2 98, 280, 909
7 49, 140, 909
7, 20, 909

∴ So the LCM of the given numbers is 2 x 7 x 7 x 20 x 909 = 1781640

Least Common Multiple of 98,280,909 with GCF Formula

Least Common Multiple of 98,280,909 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 98,280,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,280,909) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(98,280,909) x common factors =1 x 14 = 14

LCM(98,280,909) = ( 98 × 280 × 909 ) / 14

LCM(98,280,909) = 24942960 / 14

LCM(98,280,909) = 1781640


Lets's calculate GCF of 216,825,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1781640/1

Therefore the LCM of Fractions 98/216,280/825,909/257 is 1781640

Greatest Common Factor of 216,825,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,825,257 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 216,825,257 . The biggest common factor number is the GCF number.
So the greatest common factor 216,825,257 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 98/216, 280/825, 909/257

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 98/216, 280/825, 909/257?

Answer: LCM of Numerators as per given numbers 98/216, 280/825, 909/257 is

LCM of Numerators i.e. for 98,280,909 is 1781640

GCF of denominators i.e. for 216,825,257 is 1.

Thus, LCM of Fractions is 1781640.Finally, LCM of Fractions for 98/216, 280/825, 909/257 is 1781640.