Least Common Multiple of 451/70, 666/42, 197/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 451/70, 666/42, 197/328 quickly i.e. 29586051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/70, 666/42, 197/328 is 29586051.

LCM(451/70, 666/42, 197/328) = 29586051

LCM of 451/70, 666/42, 197/328

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 451/70,666/42,197/328

Given numbers are 451/70,666/42,197/328

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 451,666,197

Least Common Multiple of Numerators i.e. LCM of 451,666,197 is 59172102.

GCF of Denominators means GCF of 70,42,328 as per the given fractions.

GCF of 70,42,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,666,197

LCM of Fractions 451/70,666/42,197/328 is 29586051

Given numbers has no common factors except 1. So, there LCM is their product i.e 59172102

Least Common Multiple of 451,666,197 with GCF Formula

Least Common Multiple of 451,666,197 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 451,666,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,666,197) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(451,666,197) x common factors =1 x 1 = 1

LCM(451,666,197) = ( 451 × 666 × 197 ) / 1

LCM(451,666,197) = 59172102 / 1

LCM(451,666,197) = 59172102


Lets's calculate GCF of 70,42,328

2 70, 42, 328
35, 21, 164

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59172102/2

Therefore the LCM of Fractions 451/70,666/42,197/328 is 29586051

Greatest Common Factor of 70,42,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,42,328 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 70,42,328 . The biggest common factor number is the GCF number.
So the greatest common factor 70,42,328 is 2.


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 451/70, 666/42, 197/328

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 451/70, 666/42, 197/328?

Answer: LCM of Numerators as per given numbers 451/70, 666/42, 197/328 is

LCM of Numerators i.e. for 451,666,197 is 59172102

GCF of denominators i.e. for 70,42,328 is 2.

Thus, LCM of Fractions is 29586051.Finally, LCM of Fractions for 451/70, 666/42, 197/328 is 29586051.