Least Common Multiple of 930/380, 2866/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/380, 2866/220 quickly i.e. 1332690/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/380, 2866/220 is 1332690/20.

LCM(930/380, 2866/220) = 1332690/20

LCM of 930/380, 2866/220

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 930/380,2866/220

Given numbers are 930/380,2866/220

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 930,2866

Least Common Multiple of Numerators i.e. LCM of 930,2866 is 1332690.

GCF of Denominators means GCF of 380,220 as per the given fractions.

GCF of 380,220 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,2866

LCM of Fractions 930/380,2866/220 is 1332690/20

2 930, 2866
465, 1433

∴ So the LCM of the given numbers is 2 x 465 x 1433 = 1332690

Least Common Multiple of 930,2866 with GCF Formula

Least Common Multiple of 930,2866 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 930,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,2866) = 2

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

GCF(930,2866) x common factors =2 x 1 = 2

LCM(930,2866) = ( 930 × 2866 ) / 2

LCM(930,2866) = 2665380 / 2

LCM(930,2866) = 1332690


Lets's calculate GCF of 380,220

2 380, 220
2 190, 110
5 95, 55
19, 11

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1332690/20

Therefore the LCM of Fractions 930/380,2866/220 is 1332690/20

Greatest Common Factor of 380,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,220 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 380,220 . The biggest common factor number is the GCF number.
So the greatest common factor 380,220 is 20.


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 930/380, 2866/220

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 930/380, 2866/220?

Answer: LCM of Numerators as per given numbers 930/380, 2866/220 is

LCM of Numerators i.e. for 930,2866 is 1332690

GCF of denominators i.e. for 380,220 is 20.

Thus, LCM of Fractions is 1332690/20.Finally, LCM of Fractions for 930/380, 2866/220 is 1332690/20.