Least Common Multiple of 87/874, 34/503, 229/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/874, 34/503, 229/221 quickly i.e. 677382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/874, 34/503, 229/221 is 677382.

LCM(87/874, 34/503, 229/221) = 677382

LCM of 87/874, 34/503, 229/221

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 87/874,34/503,229/221

Given numbers are 87/874,34/503,229/221

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 87,34,229

Least Common Multiple of Numerators i.e. LCM of 87,34,229 is 677382.

GCF of Denominators means GCF of 874,503,221 as per the given fractions.

GCF of 874,503,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,34,229

LCM of Fractions 87/874,34/503,229/221 is 677382

Given numbers has no common factors except 1. So, there LCM is their product i.e 677382

Least Common Multiple of 87,34,229 with GCF Formula

Least Common Multiple of 87,34,229 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 87,34,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,34,229) = 1

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

GCF(87,34,229) x common factors =1 x 1 = 1

LCM(87,34,229) = ( 87 × 34 × 229 ) / 1

LCM(87,34,229) = 677382 / 1

LCM(87,34,229) = 677382


Lets's calculate GCF of 874,503,221

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677382/1

Therefore the LCM of Fractions 87/874,34/503,229/221 is 677382

Greatest Common Factor of 874,503,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,503,221 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 874,503,221 . The biggest common factor number is the GCF number.
So the greatest common factor 874,503,221 is 1.


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 87/874, 34/503, 229/221

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 87/874, 34/503, 229/221?

Answer: LCM of Numerators as per given numbers 87/874, 34/503, 229/221 is

LCM of Numerators i.e. for 87,34,229 is 677382

GCF of denominators i.e. for 874,503,221 is 1.

Thus, LCM of Fractions is 677382.Finally, LCM of Fractions for 87/874, 34/503, 229/221 is 677382.