Least Common Multiple of 98/75, 484/33, 692/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/75, 484/33, 692/446 quickly i.e. 4102868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/75, 484/33, 692/446 is 4102868.

LCM(98/75, 484/33, 692/446) = 4102868

LCM of 98/75, 484/33, 692/446

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 98/75,484/33,692/446

Given numbers are 98/75,484/33,692/446

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 98,484,692

Least Common Multiple of Numerators i.e. LCM of 98,484,692 is 4102868.

GCF of Denominators means GCF of 75,33,446 as per the given fractions.

GCF of 75,33,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,484,692

LCM of Fractions 98/75,484/33,692/446 is 4102868

2 98, 484, 692
2 49, 242, 346
49, 121, 173

∴ So the LCM of the given numbers is 2 x 2 x 49 x 121 x 173 = 4102868

Least Common Multiple of 98,484,692 with GCF Formula

Least Common Multiple of 98,484,692 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 98,484,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,484,692) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(98,484,692) x common factors =2 x 4 = 8

LCM(98,484,692) = ( 98 × 484 × 692 ) / 8

LCM(98,484,692) = 32822944 / 8

LCM(98,484,692) = 4102868


Lets's calculate GCF of 75,33,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4102868/1

Therefore the LCM of Fractions 98/75,484/33,692/446 is 4102868

Greatest Common Factor of 75,33,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,33,446 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 75,33,446 . The biggest common factor number is the GCF number.
So the greatest common factor 75,33,446 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 98/75, 484/33, 692/446

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 98/75, 484/33, 692/446?

Answer: LCM of Numerators as per given numbers 98/75, 484/33, 692/446 is

LCM of Numerators i.e. for 98,484,692 is 4102868

GCF of denominators i.e. for 75,33,446 is 1.

Thus, LCM of Fractions is 4102868.Finally, LCM of Fractions for 98/75, 484/33, 692/446 is 4102868.