Least Common Multiple of 98/753, 231/30, 825/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/753, 231/30, 825/584 quickly i.e. 80850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/753, 231/30, 825/584 is 80850.

LCM(98/753, 231/30, 825/584) = 80850

LCM of 98/753, 231/30, 825/584

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 98/753,231/30,825/584

Given numbers are 98/753,231/30,825/584

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 98,231,825

Least Common Multiple of Numerators i.e. LCM of 98,231,825 is 80850.

GCF of Denominators means GCF of 753,30,584 as per the given fractions.

GCF of 753,30,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,231,825

LCM of Fractions 98/753,231/30,825/584 is 80850

3 98, 231, 825
7 98, 77, 275
11 14, 11, 275
14, 1, 25

∴ So the LCM of the given numbers is 3 x 7 x 11 x 14 x 1 x 25 = 80850

Least Common Multiple of 98,231,825 with GCF Formula

Least Common Multiple of 98,231,825 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 98,231,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,231,825) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(98,231,825) x common factors =1 x 231 = 231

LCM(98,231,825) = ( 98 × 231 × 825 ) / 231

LCM(98,231,825) = 18676350 / 231

LCM(98,231,825) = 80850


Lets's calculate GCF of 753,30,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80850/1

Therefore the LCM of Fractions 98/753,231/30,825/584 is 80850

Greatest Common Factor of 753,30,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,30,584 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 753,30,584 . The biggest common factor number is the GCF number.
So the greatest common factor 753,30,584 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 98/753, 231/30, 825/584

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 98/753, 231/30, 825/584?

Answer: LCM of Numerators as per given numbers 98/753, 231/30, 825/584 is

LCM of Numerators i.e. for 98,231,825 is 80850

GCF of denominators i.e. for 753,30,584 is 1.

Thus, LCM of Fractions is 80850.Finally, LCM of Fractions for 98/753, 231/30, 825/584 is 80850.