Least Common Multiple of 75/448, 91/161, 884/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/448, 91/161, 884/197 quickly i.e. 464100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/448, 91/161, 884/197 is 464100.

LCM(75/448, 91/161, 884/197) = 464100

LCM of 75/448, 91/161, 884/197

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 75/448,91/161,884/197

Given numbers are 75/448,91/161,884/197

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 75,91,884

Least Common Multiple of Numerators i.e. LCM of 75,91,884 is 464100.

GCF of Denominators means GCF of 448,161,197 as per the given fractions.

GCF of 448,161,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,91,884

LCM of Fractions 75/448,91/161,884/197 is 464100

13 75, 91, 884
75, 7, 68

∴ So the LCM of the given numbers is 13 x 75 x 7 x 68 = 464100

Least Common Multiple of 75,91,884 with GCF Formula

Least Common Multiple of 75,91,884 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 75,91,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,91,884) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(75,91,884) x common factors =1 x 13 = 13

LCM(75,91,884) = ( 75 × 91 × 884 ) / 13

LCM(75,91,884) = 6033300 / 13

LCM(75,91,884) = 464100


Lets's calculate GCF of 448,161,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464100/1

Therefore the LCM of Fractions 75/448,91/161,884/197 is 464100

Greatest Common Factor of 448,161,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,161,197 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 448,161,197 . The biggest common factor number is the GCF number.
So the greatest common factor 448,161,197 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 75/448, 91/161, 884/197

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 75/448, 91/161, 884/197?

Answer: LCM of Numerators as per given numbers 75/448, 91/161, 884/197 is

LCM of Numerators i.e. for 75,91,884 is 464100

GCF of denominators i.e. for 448,161,197 is 1.

Thus, LCM of Fractions is 464100.Finally, LCM of Fractions for 75/448, 91/161, 884/197 is 464100.