Least Common Multiple of 465/340, 3610/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/340, 3610/910 quickly i.e. 33573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/340, 3610/910 is 33573.

LCM(465/340, 3610/910) = 33573

LCM of 465/340, 3610/910

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 465/340,3610/910

Given numbers are 465/340,3610/910

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 465,3610

Least Common Multiple of Numerators i.e. LCM of 465,3610 is 335730.

GCF of Denominators means GCF of 340,910 as per the given fractions.

GCF of 340,910 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,3610

LCM of Fractions 465/340,3610/910 is 33573

5 465, 3610
93, 722

∴ So the LCM of the given numbers is 5 x 93 x 722 = 335730

Least Common Multiple of 465,3610 with GCF Formula

Least Common Multiple of 465,3610 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 465,3610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,3610) = 5

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

GCF(465,3610) x common factors =5 x 1 = 5

LCM(465,3610) = ( 465 × 3610 ) / 5

LCM(465,3610) = 1678650 / 5

LCM(465,3610) = 335730


Lets's calculate GCF of 340,910

2 340, 910
5 170, 455
34, 91

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335730/10

Therefore the LCM of Fractions 465/340,3610/910 is 33573

Greatest Common Factor of 340,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,910 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 340,910 . The biggest common factor number is the GCF number.
So the greatest common factor 340,910 is 10.


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 465/340, 3610/910

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 465/340, 3610/910?

Answer: LCM of Numerators as per given numbers 465/340, 3610/910 is

LCM of Numerators i.e. for 465,3610 is 335730

GCF of denominators i.e. for 340,910 is 10.

Thus, LCM of Fractions is 33573.Finally, LCM of Fractions for 465/340, 3610/910 is 33573.