Least Common Multiple of 3614/92, 8203/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3614/92, 8203/388 quickly i.e. 2280434/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3614/92, 8203/388 is 2280434/4.

LCM(3614/92, 8203/388) = 2280434/4

LCM of 3614/92, 8203/388

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 3614/92,8203/388

Given numbers are 3614/92,8203/388

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 3614,8203

Least Common Multiple of Numerators i.e. LCM of 3614,8203 is 2280434.

GCF of Denominators means GCF of 92,388 as per the given fractions.

GCF of 92,388 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3614,8203

LCM of Fractions 3614/92,8203/388 is 2280434/4

13 3614, 8203
278, 631

∴ So the LCM of the given numbers is 13 x 278 x 631 = 2280434

Least Common Multiple of 3614,8203 with GCF Formula

Least Common Multiple of 3614,8203 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 3614,8203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3614,8203) = 13

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

GCF(3614,8203) x common factors =13 x 1 = 13

LCM(3614,8203) = ( 3614 × 8203 ) / 13

LCM(3614,8203) = 29645642 / 13

LCM(3614,8203) = 2280434


Lets's calculate GCF of 92,388

2 92, 388
2 46, 194
23, 97

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280434/4

Therefore the LCM of Fractions 3614/92,8203/388 is 2280434/4

Greatest Common Factor of 92,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,388 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 92,388 . The biggest common factor number is the GCF number.
So the greatest common factor 92,388 is 4.


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 3614/92, 8203/388

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 3614/92, 8203/388?

Answer: LCM of Numerators as per given numbers 3614/92, 8203/388 is

LCM of Numerators i.e. for 3614,8203 is 2280434

GCF of denominators i.e. for 92,388 is 4.

Thus, LCM of Fractions is 2280434/4.Finally, LCM of Fractions for 3614/92, 8203/388 is 2280434/4.