Least Common Multiple of 410/64, 654/58, 269/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/64, 654/58, 269/618 quickly i.e. 18032415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/64, 654/58, 269/618 is 18032415.

LCM(410/64, 654/58, 269/618) = 18032415

LCM of 410/64, 654/58, 269/618

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 410/64,654/58,269/618

Given numbers are 410/64,654/58,269/618

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 410,654,269

Least Common Multiple of Numerators i.e. LCM of 410,654,269 is 36064830.

GCF of Denominators means GCF of 64,58,618 as per the given fractions.

GCF of 64,58,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,654,269

LCM of Fractions 410/64,654/58,269/618 is 18032415

2 410, 654, 269
205, 327, 269

∴ So the LCM of the given numbers is 2 x 205 x 327 x 269 = 36064830

Least Common Multiple of 410,654,269 with GCF Formula

Least Common Multiple of 410,654,269 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 410,654,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,654,269) = 1

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

GCF(410,654,269) x common factors =1 x 2 = 2

LCM(410,654,269) = ( 410 × 654 × 269 ) / 2

LCM(410,654,269) = 72129660 / 2

LCM(410,654,269) = 36064830


Lets's calculate GCF of 64,58,618

2 64, 58, 618
32, 29, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36064830/2

Therefore the LCM of Fractions 410/64,654/58,269/618 is 18032415

Greatest Common Factor of 64,58,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,58,618 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 64,58,618 . The biggest common factor number is the GCF number.
So the greatest common factor 64,58,618 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 410/64, 654/58, 269/618

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 410/64, 654/58, 269/618?

Answer: LCM of Numerators as per given numbers 410/64, 654/58, 269/618 is

LCM of Numerators i.e. for 410,654,269 is 36064830

GCF of denominators i.e. for 64,58,618 is 2.

Thus, LCM of Fractions is 18032415.Finally, LCM of Fractions for 410/64, 654/58, 269/618 is 18032415.