Least Common Multiple of 89/392, 11/998, 425/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/392, 11/998, 425/714 quickly i.e. 416075/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/392, 11/998, 425/714 is 416075/2.

LCM(89/392, 11/998, 425/714) = 416075/2

LCM of 89/392, 11/998, 425/714

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 89/392,11/998,425/714

Given numbers are 89/392,11/998,425/714

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 89,11,425

Least Common Multiple of Numerators i.e. LCM of 89,11,425 is 416075.

GCF of Denominators means GCF of 392,998,714 as per the given fractions.

GCF of 392,998,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,11,425

LCM of Fractions 89/392,11/998,425/714 is 416075/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 416075

Least Common Multiple of 89,11,425 with GCF Formula

Least Common Multiple of 89,11,425 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 89,11,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,11,425) = 1

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

GCF(89,11,425) x common factors =1 x 1 = 1

LCM(89,11,425) = ( 89 × 11 × 425 ) / 1

LCM(89,11,425) = 416075 / 1

LCM(89,11,425) = 416075


Lets's calculate GCF of 392,998,714

2 392, 998, 714
196, 499, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416075/2

Therefore the LCM of Fractions 89/392,11/998,425/714 is 416075/2

Greatest Common Factor of 392,998,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,998,714 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 392,998,714 . The biggest common factor number is the GCF number.
So the greatest common factor 392,998,714 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 89/392, 11/998, 425/714

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 89/392, 11/998, 425/714?

Answer: LCM of Numerators as per given numbers 89/392, 11/998, 425/714 is

LCM of Numerators i.e. for 89,11,425 is 416075

GCF of denominators i.e. for 392,998,714 is 2.

Thus, LCM of Fractions is 416075/2.Finally, LCM of Fractions for 89/392, 11/998, 425/714 is 416075/2.