Least Common Multiple of 417/909, 386/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 417/909, 386/704 quickly i.e. 160962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/909, 386/704 is 160962.

LCM(417/909, 386/704) = 160962

LCM of 417/909, 386/704

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 417/909,386/704

Given numbers are 417/909,386/704

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 417,386

Least Common Multiple of Numerators i.e. LCM of 417,386 is 160962.

GCF of Denominators means GCF of 909,704 as per the given fractions.

GCF of 909,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,386

LCM of Fractions 417/909,386/704 is 160962

Given numbers has no common factors except 1. So, there LCM is their product i.e 160962

Least Common Multiple of 417,386 with GCF Formula

Least Common Multiple of 417,386 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 417,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,386) = 1

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

GCF(417,386) x common factors =1 x 1 = 1

LCM(417,386) = ( 417 × 386 ) / 1

LCM(417,386) = 160962 / 1

LCM(417,386) = 160962


Lets's calculate GCF of 909,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160962/1

Therefore the LCM of Fractions 417/909,386/704 is 160962

Greatest Common Factor of 909,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,704 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 909,704 . The biggest common factor number is the GCF number.
So the greatest common factor 909,704 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 417/909, 386/704

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 417/909, 386/704?

Answer: LCM of Numerators as per given numbers 417/909, 386/704 is

LCM of Numerators i.e. for 417,386 is 160962

GCF of denominators i.e. for 909,704 is 1.

Thus, LCM of Fractions is 160962.Finally, LCM of Fractions for 417/909, 386/704 is 160962.