Least Common Multiple of 34/72, 45/74, 64/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/72, 45/74, 64/386 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/72, 45/74, 64/386 is 24480.

LCM(34/72, 45/74, 64/386) = 24480

LCM of 34/72, 45/74, 64/386

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 34/72,45/74,64/386

Given numbers are 34/72,45/74,64/386

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 34,45,64

Least Common Multiple of Numerators i.e. LCM of 34,45,64 is 48960.

GCF of Denominators means GCF of 72,74,386 as per the given fractions.

GCF of 72,74,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,45,64

LCM of Fractions 34/72,45/74,64/386 is 24480

2 34, 45, 64
17, 45, 32

∴ So the LCM of the given numbers is 2 x 17 x 45 x 32 = 48960

Least Common Multiple of 34,45,64 with GCF Formula

Least Common Multiple of 34,45,64 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 34,45,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,45,64) = 1

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

GCF(34,45,64) x common factors =1 x 2 = 2

LCM(34,45,64) = ( 34 × 45 × 64 ) / 2

LCM(34,45,64) = 97920 / 2

LCM(34,45,64) = 48960


Lets's calculate GCF of 72,74,386

2 72, 74, 386
36, 37, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48960/2

Therefore the LCM of Fractions 34/72,45/74,64/386 is 24480

Greatest Common Factor of 72,74,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,74,386 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 72,74,386 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,386 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 34/72, 45/74, 64/386

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 34/72, 45/74, 64/386?

Answer: LCM of Numerators as per given numbers 34/72, 45/74, 64/386 is

LCM of Numerators i.e. for 34,45,64 is 48960

GCF of denominators i.e. for 72,74,386 is 2.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 34/72, 45/74, 64/386 is 24480.