Least Common Multiple of 89/228, 701/482, 100/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/228, 701/482, 100/908 quickly i.e. 3119450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/228, 701/482, 100/908 is 3119450.

LCM(89/228, 701/482, 100/908) = 3119450

LCM of 89/228, 701/482, 100/908

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 89/228,701/482,100/908

Given numbers are 89/228,701/482,100/908

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 89,701,100

Least Common Multiple of Numerators i.e. LCM of 89,701,100 is 6238900.

GCF of Denominators means GCF of 228,482,908 as per the given fractions.

GCF of 228,482,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,701,100

LCM of Fractions 89/228,701/482,100/908 is 3119450

Given numbers has no common factors except 1. So, there LCM is their product i.e 6238900

Least Common Multiple of 89,701,100 with GCF Formula

Least Common Multiple of 89,701,100 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 89,701,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,701,100) = 1

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

GCF(89,701,100) x common factors =1 x 1 = 1

LCM(89,701,100) = ( 89 × 701 × 100 ) / 1

LCM(89,701,100) = 6238900 / 1

LCM(89,701,100) = 6238900


Lets's calculate GCF of 228,482,908

2 228, 482, 908
114, 241, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6238900/2

Therefore the LCM of Fractions 89/228,701/482,100/908 is 3119450

Greatest Common Factor of 228,482,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,482,908 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 228,482,908 . The biggest common factor number is the GCF number.
So the greatest common factor 228,482,908 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/228, 701/482, 100/908

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 89/228, 701/482, 100/908?

Answer: LCM of Numerators as per given numbers 89/228, 701/482, 100/908 is

LCM of Numerators i.e. for 89,701,100 is 6238900

GCF of denominators i.e. for 228,482,908 is 2.

Thus, LCM of Fractions is 3119450.Finally, LCM of Fractions for 89/228, 701/482, 100/908 is 3119450.