Least Common Multiple of 354/69, 417/64, 812/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/69, 417/64, 812/190 quickly i.e. 19977636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/69, 417/64, 812/190 is 19977636.

LCM(354/69, 417/64, 812/190) = 19977636

LCM of 354/69, 417/64, 812/190

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 354/69,417/64,812/190

Given numbers are 354/69,417/64,812/190

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 354,417,812

Least Common Multiple of Numerators i.e. LCM of 354,417,812 is 19977636.

GCF of Denominators means GCF of 69,64,190 as per the given fractions.

GCF of 69,64,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,417,812

LCM of Fractions 354/69,417/64,812/190 is 19977636

2 354, 417, 812
3 177, 417, 406
59, 139, 406

∴ So the LCM of the given numbers is 2 x 3 x 59 x 139 x 406 = 19977636

Least Common Multiple of 354,417,812 with GCF Formula

Least Common Multiple of 354,417,812 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 354,417,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,417,812) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(354,417,812) x common factors =1 x 6 = 6

LCM(354,417,812) = ( 354 × 417 × 812 ) / 6

LCM(354,417,812) = 119865816 / 6

LCM(354,417,812) = 19977636


Lets's calculate GCF of 69,64,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19977636/1

Therefore the LCM of Fractions 354/69,417/64,812/190 is 19977636

Greatest Common Factor of 69,64,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,64,190 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 69,64,190 . The biggest common factor number is the GCF number.
So the greatest common factor 69,64,190 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 354/69, 417/64, 812/190

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 354/69, 417/64, 812/190?

Answer: LCM of Numerators as per given numbers 354/69, 417/64, 812/190 is

LCM of Numerators i.e. for 354,417,812 is 19977636

GCF of denominators i.e. for 69,64,190 is 1.

Thus, LCM of Fractions is 19977636.Finally, LCM of Fractions for 354/69, 417/64, 812/190 is 19977636.