Least Common Multiple of 8762/438, 3229/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8762/438, 3229/170 quickly i.e. 14146249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8762/438, 3229/170 is 14146249.

LCM(8762/438, 3229/170) = 14146249

LCM of 8762/438, 3229/170

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 8762/438,3229/170

Given numbers are 8762/438,3229/170

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 8762,3229

Least Common Multiple of Numerators i.e. LCM of 8762,3229 is 28292498.

GCF of Denominators means GCF of 438,170 as per the given fractions.

GCF of 438,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8762,3229

LCM of Fractions 8762/438,3229/170 is 14146249

Given numbers has no common factors except 1. So, there LCM is their product i.e 28292498

Least Common Multiple of 8762,3229 with GCF Formula

Least Common Multiple of 8762,3229 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 8762,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8762,3229) = 1

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

GCF(8762,3229) x common factors =1 x 1 = 1

LCM(8762,3229) = ( 8762 × 3229 ) / 1

LCM(8762,3229) = 28292498 / 1

LCM(8762,3229) = 28292498


Lets's calculate GCF of 438,170

2 438, 170
219, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28292498/2

Therefore the LCM of Fractions 8762/438,3229/170 is 14146249

Greatest Common Factor of 438,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,170 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 438,170 . The biggest common factor number is the GCF number.
So the greatest common factor 438,170 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 8762/438, 3229/170

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 8762/438, 3229/170?

Answer: LCM of Numerators as per given numbers 8762/438, 3229/170 is

LCM of Numerators i.e. for 8762,3229 is 28292498

GCF of denominators i.e. for 438,170 is 2.

Thus, LCM of Fractions is 14146249.Finally, LCM of Fractions for 8762/438, 3229/170 is 14146249.