Least Common Multiple of 228/414, 9764/8380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/414, 9764/8380 quickly i.e. 278274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/414, 9764/8380 is 278274.

LCM(228/414, 9764/8380) = 278274

LCM of 228/414, 9764/8380

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 228/414,9764/8380

Given numbers are 228/414,9764/8380

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 228,9764

Least Common Multiple of Numerators i.e. LCM of 228,9764 is 556548.

GCF of Denominators means GCF of 414,8380 as per the given fractions.

GCF of 414,8380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,9764

LCM of Fractions 228/414,9764/8380 is 278274

2 228, 9764
2 114, 4882
57, 2441

∴ So the LCM of the given numbers is 2 x 2 x 57 x 2441 = 556548

Least Common Multiple of 228,9764 with GCF Formula

Least Common Multiple of 228,9764 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 228,9764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,9764) = 4

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

GCF(228,9764) x common factors =4 x 1 = 4

LCM(228,9764) = ( 228 × 9764 ) / 4

LCM(228,9764) = 2226192 / 4

LCM(228,9764) = 556548


Lets's calculate GCF of 414,8380

2 414, 8380
207, 4190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 556548/2

Therefore the LCM of Fractions 228/414,9764/8380 is 278274

Greatest Common Factor of 414,8380 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,8380 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Greatest Common Factor

We found the factors 414,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 414,8380 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 228/414, 9764/8380

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 228/414, 9764/8380?

Answer: LCM of Numerators as per given numbers 228/414, 9764/8380 is

LCM of Numerators i.e. for 228,9764 is 556548

GCF of denominators i.e. for 414,8380 is 2.

Thus, LCM of Fractions is 278274.Finally, LCM of Fractions for 228/414, 9764/8380 is 278274.