Least Common Multiple of 45/32, 98/419, 134/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/32, 98/419, 134/476 quickly i.e. 295470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/32, 98/419, 134/476 is 295470.

LCM(45/32, 98/419, 134/476) = 295470

LCM of 45/32, 98/419, 134/476

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 45/32,98/419,134/476

Given numbers are 45/32,98/419,134/476

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 45,98,134

Least Common Multiple of Numerators i.e. LCM of 45,98,134 is 295470.

GCF of Denominators means GCF of 32,419,476 as per the given fractions.

GCF of 32,419,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,98,134

LCM of Fractions 45/32,98/419,134/476 is 295470

2 45, 98, 134
45, 49, 67

∴ So the LCM of the given numbers is 2 x 45 x 49 x 67 = 295470

Least Common Multiple of 45,98,134 with GCF Formula

Least Common Multiple of 45,98,134 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 45,98,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,98,134) = 1

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

GCF(45,98,134) x common factors =1 x 2 = 2

LCM(45,98,134) = ( 45 × 98 × 134 ) / 2

LCM(45,98,134) = 590940 / 2

LCM(45,98,134) = 295470


Lets's calculate GCF of 32,419,476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295470/1

Therefore the LCM of Fractions 45/32,98/419,134/476 is 295470

Greatest Common Factor of 32,419,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,419,476 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 32,419,476 . The biggest common factor number is the GCF number.
So the greatest common factor 32,419,476 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 45/32, 98/419, 134/476

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 45/32, 98/419, 134/476?

Answer: LCM of Numerators as per given numbers 45/32, 98/419, 134/476 is

LCM of Numerators i.e. for 45,98,134 is 295470

GCF of denominators i.e. for 32,419,476 is 1.

Thus, LCM of Fractions is 295470.Finally, LCM of Fractions for 45/32, 98/419, 134/476 is 295470.