Least Common Multiple of 417/17, 757/67, 150/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/17, 757/67, 150/33 quickly i.e. 15783450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/17, 757/67, 150/33 is 15783450.

LCM(417/17, 757/67, 150/33) = 15783450

LCM of 417/17, 757/67, 150/33

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 417/17,757/67,150/33

Given numbers are 417/17,757/67,150/33

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 417,757,150

Least Common Multiple of Numerators i.e. LCM of 417,757,150 is 15783450.

GCF of Denominators means GCF of 17,67,33 as per the given fractions.

GCF of 17,67,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,757,150

LCM of Fractions 417/17,757/67,150/33 is 15783450

3 417, 757, 150
139, 757, 50

∴ So the LCM of the given numbers is 3 x 139 x 757 x 50 = 15783450

Least Common Multiple of 417,757,150 with GCF Formula

Least Common Multiple of 417,757,150 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 417,757,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,757,150) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(417,757,150) x common factors =1 x 3 = 3

LCM(417,757,150) = ( 417 × 757 × 150 ) / 3

LCM(417,757,150) = 47350350 / 3

LCM(417,757,150) = 15783450


Lets's calculate GCF of 17,67,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15783450/1

Therefore the LCM of Fractions 417/17,757/67,150/33 is 15783450

Greatest Common Factor of 17,67,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,67,33 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 33

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

1,3,11,33

Greatest Common Factor

We found the factors 17,67,33 . The biggest common factor number is the GCF number.
So the greatest common factor 17,67,33 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 417/17, 757/67, 150/33

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 417/17, 757/67, 150/33?

Answer: LCM of Numerators as per given numbers 417/17, 757/67, 150/33 is

LCM of Numerators i.e. for 417,757,150 is 15783450

GCF of denominators i.e. for 17,67,33 is 1.

Thus, LCM of Fractions is 15783450.Finally, LCM of Fractions for 417/17, 757/67, 150/33 is 15783450.