Least Common Multiple of 66/38, 70/390, 730/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/38, 70/390, 730/634 quickly i.e. 84315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/38, 70/390, 730/634 is 84315.

LCM(66/38, 70/390, 730/634) = 84315

LCM of 66/38, 70/390, 730/634

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 66/38,70/390,730/634

Given numbers are 66/38,70/390,730/634

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 66,70,730

Least Common Multiple of Numerators i.e. LCM of 66,70,730 is 168630.

GCF of Denominators means GCF of 38,390,634 as per the given fractions.

GCF of 38,390,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,70,730

LCM of Fractions 66/38,70/390,730/634 is 84315

2 66, 70, 730
5 33, 35, 365
33, 7, 73

∴ So the LCM of the given numbers is 2 x 5 x 33 x 7 x 73 = 168630

Least Common Multiple of 66,70,730 with GCF Formula

Least Common Multiple of 66,70,730 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 66,70,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,70,730) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(66,70,730) x common factors =2 x 10 = 20

LCM(66,70,730) = ( 66 × 70 × 730 ) / 20

LCM(66,70,730) = 3372600 / 20

LCM(66,70,730) = 168630


Lets's calculate GCF of 38,390,634

2 38, 390, 634
19, 195, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168630/2

Therefore the LCM of Fractions 66/38,70/390,730/634 is 84315

Greatest Common Factor of 38,390,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,390,634 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 38,390,634 . The biggest common factor number is the GCF number.
So the greatest common factor 38,390,634 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 66/38, 70/390, 730/634

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 66/38, 70/390, 730/634?

Answer: LCM of Numerators as per given numbers 66/38, 70/390, 730/634 is

LCM of Numerators i.e. for 66,70,730 is 168630

GCF of denominators i.e. for 38,390,634 is 2.

Thus, LCM of Fractions is 84315.Finally, LCM of Fractions for 66/38, 70/390, 730/634 is 84315.