Least Common Multiple of 380/69, 626/20, 216/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/69, 626/20, 216/386 quickly i.e. 6422760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/69, 626/20, 216/386 is 6422760.

LCM(380/69, 626/20, 216/386) = 6422760

LCM of 380/69, 626/20, 216/386

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 380/69,626/20,216/386

Given numbers are 380/69,626/20,216/386

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 380,626,216

Least Common Multiple of Numerators i.e. LCM of 380,626,216 is 6422760.

GCF of Denominators means GCF of 69,20,386 as per the given fractions.

GCF of 69,20,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,626,216

LCM of Fractions 380/69,626/20,216/386 is 6422760

2 380, 626, 216
2 190, 313, 108
95, 313, 54

∴ So the LCM of the given numbers is 2 x 2 x 95 x 313 x 54 = 6422760

Least Common Multiple of 380,626,216 with GCF Formula

Least Common Multiple of 380,626,216 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 380,626,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,626,216) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(380,626,216) x common factors =2 x 4 = 8

LCM(380,626,216) = ( 380 × 626 × 216 ) / 8

LCM(380,626,216) = 51382080 / 8

LCM(380,626,216) = 6422760


Lets's calculate GCF of 69,20,386

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6422760/1

Therefore the LCM of Fractions 380/69,626/20,216/386 is 6422760

Greatest Common Factor of 69,20,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,20,386 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 69,20,386 . The biggest common factor number is the GCF number.
So the greatest common factor 69,20,386 is 1.


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 380/69, 626/20, 216/386

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 380/69, 626/20, 216/386?

Answer: LCM of Numerators as per given numbers 380/69, 626/20, 216/386 is

LCM of Numerators i.e. for 380,626,216 is 6422760

GCF of denominators i.e. for 69,20,386 is 1.

Thus, LCM of Fractions is 6422760.Finally, LCM of Fractions for 380/69, 626/20, 216/386 is 6422760.