Least Common Multiple of 163/88, 900/1419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/88, 900/1419 quickly i.e. 146700/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/88, 900/1419 is 146700/11.

LCM(163/88, 900/1419) = 146700/11

LCM of 163/88, 900/1419

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 163/88,900/1419

Given numbers are 163/88,900/1419

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 163,900

Least Common Multiple of Numerators i.e. LCM of 163,900 is 146700.

GCF of Denominators means GCF of 88,1419 as per the given fractions.

GCF of 88,1419 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,900

LCM of Fractions 163/88,900/1419 is 146700/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 146700

Least Common Multiple of 163,900 with GCF Formula

Least Common Multiple of 163,900 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 163,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,900) = 1

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

GCF(163,900) x common factors =1 x 1 = 1

LCM(163,900) = ( 163 × 900 ) / 1

LCM(163,900) = 146700 / 1

LCM(163,900) = 146700


Lets's calculate GCF of 88,1419

11 88, 1419
8, 129

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146700/11

Therefore the LCM of Fractions 163/88,900/1419 is 146700/11

Greatest Common Factor of 88,1419 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,1419 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 1419

List of positive integer factors of 1419 that divides 1419 without a remainder.

1,3,11,33,43,129,473,1419

Greatest Common Factor

We found the factors 88,1419 . The biggest common factor number is the GCF number.
So the greatest common factor 88,1419 is 11.


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 163/88, 900/1419

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 163/88, 900/1419?

Answer: LCM of Numerators as per given numbers 163/88, 900/1419 is

LCM of Numerators i.e. for 163,900 is 146700

GCF of denominators i.e. for 88,1419 is 11.

Thus, LCM of Fractions is 146700/11.Finally, LCM of Fractions for 163/88, 900/1419 is 146700/11.