Least Common Multiple of 874/10, 722/7533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/10, 722/7533 quickly i.e. 16606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/10, 722/7533 is 16606.

LCM(874/10, 722/7533) = 16606

LCM of 874/10, 722/7533

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 874/10,722/7533

Given numbers are 874/10,722/7533

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 874,722

Least Common Multiple of Numerators i.e. LCM of 874,722 is 16606.

GCF of Denominators means GCF of 10,7533 as per the given fractions.

GCF of 10,7533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,722

LCM of Fractions 874/10,722/7533 is 16606

2 874, 722
19 437, 361
23, 19

∴ So the LCM of the given numbers is 2 x 19 x 23 x 19 = 16606

Least Common Multiple of 874,722 with GCF Formula

Least Common Multiple of 874,722 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 874,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,722) = 38

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

GCF(874,722) x common factors =38 x 1 = 38

LCM(874,722) = ( 874 × 722 ) / 38

LCM(874,722) = 631028 / 38

LCM(874,722) = 16606


Lets's calculate GCF of 10,7533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16606/1

Therefore the LCM of Fractions 874/10,722/7533 is 16606

Greatest Common Factor of 10,7533 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,7533 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 7533

List of positive integer factors of 7533 that divides 7533 without a remainder.

1,3,9,27,31,81,93,243,279,837,2511,7533

Greatest Common Factor

We found the factors 10,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 10,7533 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 874/10, 722/7533

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 874/10, 722/7533?

Answer: LCM of Numerators as per given numbers 874/10, 722/7533 is

LCM of Numerators i.e. for 874,722 is 16606

GCF of denominators i.e. for 10,7533 is 1.

Thus, LCM of Fractions is 16606.Finally, LCM of Fractions for 874/10, 722/7533 is 16606.