Least Common Multiple of 224/998, 759/775, 301/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/998, 759/775, 301/626 quickly i.e. 7310688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/998, 759/775, 301/626 is 7310688.

LCM(224/998, 759/775, 301/626) = 7310688

LCM of 224/998, 759/775, 301/626

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 224/998,759/775,301/626

Given numbers are 224/998,759/775,301/626

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 224,759,301

Least Common Multiple of Numerators i.e. LCM of 224,759,301 is 7310688.

GCF of Denominators means GCF of 998,775,626 as per the given fractions.

GCF of 998,775,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,759,301

LCM of Fractions 224/998,759/775,301/626 is 7310688

7 224, 759, 301
32, 759, 43

∴ So the LCM of the given numbers is 7 x 32 x 759 x 43 = 7310688

Least Common Multiple of 224,759,301 with GCF Formula

Least Common Multiple of 224,759,301 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 224,759,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,759,301) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(224,759,301) x common factors =1 x 7 = 7

LCM(224,759,301) = ( 224 × 759 × 301 ) / 7

LCM(224,759,301) = 51174816 / 7

LCM(224,759,301) = 7310688


Lets's calculate GCF of 998,775,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7310688/1

Therefore the LCM of Fractions 224/998,759/775,301/626 is 7310688

Greatest Common Factor of 998,775,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,775,626 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 998,775,626 . The biggest common factor number is the GCF number.
So the greatest common factor 998,775,626 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 224/998, 759/775, 301/626

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 224/998, 759/775, 301/626?

Answer: LCM of Numerators as per given numbers 224/998, 759/775, 301/626 is

LCM of Numerators i.e. for 224,759,301 is 7310688

GCF of denominators i.e. for 998,775,626 is 1.

Thus, LCM of Fractions is 7310688.Finally, LCM of Fractions for 224/998, 759/775, 301/626 is 7310688.