Least Common Multiple of 8930/385, 3388/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8930/385, 3388/830 quickly i.e. 3025484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8930/385, 3388/830 is 3025484.

LCM(8930/385, 3388/830) = 3025484

LCM of 8930/385, 3388/830

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 8930/385,3388/830

Given numbers are 8930/385,3388/830

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 8930,3388

Least Common Multiple of Numerators i.e. LCM of 8930,3388 is 15127420.

GCF of Denominators means GCF of 385,830 as per the given fractions.

GCF of 385,830 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8930,3388

LCM of Fractions 8930/385,3388/830 is 3025484

2 8930, 3388
4465, 1694

∴ So the LCM of the given numbers is 2 x 4465 x 1694 = 15127420

Least Common Multiple of 8930,3388 with GCF Formula

Least Common Multiple of 8930,3388 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 8930,3388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8930,3388) = 2

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

GCF(8930,3388) x common factors =2 x 1 = 2

LCM(8930,3388) = ( 8930 × 3388 ) / 2

LCM(8930,3388) = 30254840 / 2

LCM(8930,3388) = 15127420


Lets's calculate GCF of 385,830

5 385, 830
77, 166

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15127420/5

Therefore the LCM of Fractions 8930/385,3388/830 is 3025484

Greatest Common Factor of 385,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,830 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 385,830 . The biggest common factor number is the GCF number.
So the greatest common factor 385,830 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8930/385, 3388/830

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 8930/385, 3388/830?

Answer: LCM of Numerators as per given numbers 8930/385, 3388/830 is

LCM of Numerators i.e. for 8930,3388 is 15127420

GCF of denominators i.e. for 385,830 is 5.

Thus, LCM of Fractions is 3025484.Finally, LCM of Fractions for 8930/385, 3388/830 is 3025484.