Least Common Multiple of 824/67, 1110/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/67, 1110/388 quickly i.e. 457320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/67, 1110/388 is 457320.

LCM(824/67, 1110/388) = 457320

LCM of 824/67, 1110/388

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 824/67,1110/388

Given numbers are 824/67,1110/388

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 824,1110

Least Common Multiple of Numerators i.e. LCM of 824,1110 is 457320.

GCF of Denominators means GCF of 67,388 as per the given fractions.

GCF of 67,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,1110

LCM of Fractions 824/67,1110/388 is 457320

2 824, 1110
412, 555

∴ So the LCM of the given numbers is 2 x 412 x 555 = 457320

Least Common Multiple of 824,1110 with GCF Formula

Least Common Multiple of 824,1110 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 824,1110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1110) = 2

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

GCF(824,1110) x common factors =2 x 1 = 2

LCM(824,1110) = ( 824 × 1110 ) / 2

LCM(824,1110) = 914640 / 2

LCM(824,1110) = 457320


Lets's calculate GCF of 67,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457320/1

Therefore the LCM of Fractions 824/67,1110/388 is 457320

Greatest Common Factor of 67,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,388 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 67,388 . The biggest common factor number is the GCF number.
So the greatest common factor 67,388 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 824/67, 1110/388

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 824/67, 1110/388?

Answer: LCM of Numerators as per given numbers 824/67, 1110/388 is

LCM of Numerators i.e. for 824,1110 is 457320

GCF of denominators i.e. for 67,388 is 1.

Thus, LCM of Fractions is 457320.Finally, LCM of Fractions for 824/67, 1110/388 is 457320.