Least Common Multiple of 465/34, 682/9204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/34, 682/9204 quickly i.e. 5115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/34, 682/9204 is 5115.

LCM(465/34, 682/9204) = 5115

LCM of 465/34, 682/9204

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 465/34,682/9204

Given numbers are 465/34,682/9204

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 465,682

Least Common Multiple of Numerators i.e. LCM of 465,682 is 10230.

GCF of Denominators means GCF of 34,9204 as per the given fractions.

GCF of 34,9204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,682

LCM of Fractions 465/34,682/9204 is 5115

31 465, 682
15, 22

∴ So the LCM of the given numbers is 31 x 15 x 22 = 10230

Least Common Multiple of 465,682 with GCF Formula

Least Common Multiple of 465,682 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 465,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,682) = 31

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

GCF(465,682) x common factors =31 x 1 = 31

LCM(465,682) = ( 465 × 682 ) / 31

LCM(465,682) = 317130 / 31

LCM(465,682) = 10230


Lets's calculate GCF of 34,9204

2 34, 9204
17, 4602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10230/2

Therefore the LCM of Fractions 465/34,682/9204 is 5115

Greatest Common Factor of 34,9204 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,9204 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204

Greatest Common Factor

We found the factors 34,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 34,9204 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 465/34, 682/9204

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 465/34, 682/9204?

Answer: LCM of Numerators as per given numbers 465/34, 682/9204 is

LCM of Numerators i.e. for 465,682 is 10230

GCF of denominators i.e. for 34,9204 is 2.

Thus, LCM of Fractions is 5115.Finally, LCM of Fractions for 465/34, 682/9204 is 5115.