Least Common Multiple of 98/105, 725/531, 892/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/105, 725/531, 892/212 quickly i.e. 31688300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/105, 725/531, 892/212 is 31688300.

LCM(98/105, 725/531, 892/212) = 31688300

LCM of 98/105, 725/531, 892/212

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 98/105,725/531,892/212

Given numbers are 98/105,725/531,892/212

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 98,725,892

Least Common Multiple of Numerators i.e. LCM of 98,725,892 is 31688300.

GCF of Denominators means GCF of 105,531,212 as per the given fractions.

GCF of 105,531,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,725,892

LCM of Fractions 98/105,725/531,892/212 is 31688300

2 98, 725, 892
49, 725, 446

∴ So the LCM of the given numbers is 2 x 49 x 725 x 446 = 31688300

Least Common Multiple of 98,725,892 with GCF Formula

Least Common Multiple of 98,725,892 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 98,725,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,725,892) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,725,892) x common factors =1 x 2 = 2

LCM(98,725,892) = ( 98 × 725 × 892 ) / 2

LCM(98,725,892) = 63376600 / 2

LCM(98,725,892) = 31688300


Lets's calculate GCF of 105,531,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31688300/1

Therefore the LCM of Fractions 98/105,725/531,892/212 is 31688300

Greatest Common Factor of 105,531,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,531,212 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 105,531,212 . The biggest common factor number is the GCF number.
So the greatest common factor 105,531,212 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 98/105, 725/531, 892/212

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 98/105, 725/531, 892/212?

Answer: LCM of Numerators as per given numbers 98/105, 725/531, 892/212 is

LCM of Numerators i.e. for 98,725,892 is 31688300

GCF of denominators i.e. for 105,531,212 is 1.

Thus, LCM of Fractions is 31688300.Finally, LCM of Fractions for 98/105, 725/531, 892/212 is 31688300.