Least Common Multiple of 7417/874, 7473/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7417/874, 7473/690 quickly i.e. 55427241/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7417/874, 7473/690 is 55427241/46.

LCM(7417/874, 7473/690) = 55427241/46

LCM of 7417/874, 7473/690

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 7417/874,7473/690

Given numbers are 7417/874,7473/690

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 7417,7473

Least Common Multiple of Numerators i.e. LCM of 7417,7473 is 55427241.

GCF of Denominators means GCF of 874,690 as per the given fractions.

GCF of 874,690 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7417,7473

LCM of Fractions 7417/874,7473/690 is 55427241/46

Given numbers has no common factors except 1. So, there LCM is their product i.e 55427241

Least Common Multiple of 7417,7473 with GCF Formula

Least Common Multiple of 7417,7473 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 7417,7473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7417,7473) = 1

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

GCF(7417,7473) x common factors =1 x 1 = 1

LCM(7417,7473) = ( 7417 × 7473 ) / 1

LCM(7417,7473) = 55427241 / 1

LCM(7417,7473) = 55427241


Lets's calculate GCF of 874,690

2 874, 690
23 437, 345
19, 15

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55427241/46

Therefore the LCM of Fractions 7417/874,7473/690 is 55427241/46

Greatest Common Factor of 874,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,690 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 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 874,690 . The biggest common factor number is the GCF number.
So the greatest common factor 874,690 is 46.


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 7417/874, 7473/690

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 7417/874, 7473/690?

Answer: LCM of Numerators as per given numbers 7417/874, 7473/690 is

LCM of Numerators i.e. for 7417,7473 is 55427241

GCF of denominators i.e. for 874,690 is 46.

Thus, LCM of Fractions is 55427241/46.Finally, LCM of Fractions for 7417/874, 7473/690 is 55427241/46.