Least Common Multiple of 554/16, 417/7225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 554/16, 417/7225 quickly i.e. 231018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/16, 417/7225 is 231018.

LCM(554/16, 417/7225) = 231018

LCM of 554/16, 417/7225

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 554/16,417/7225

Given numbers are 554/16,417/7225

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 554,417

Least Common Multiple of Numerators i.e. LCM of 554,417 is 231018.

GCF of Denominators means GCF of 16,7225 as per the given fractions.

GCF of 16,7225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,417

LCM of Fractions 554/16,417/7225 is 231018

Given numbers has no common factors except 1. So, there LCM is their product i.e 231018

Least Common Multiple of 554,417 with GCF Formula

Least Common Multiple of 554,417 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 554,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,417) = 1

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

GCF(554,417) x common factors =1 x 1 = 1

LCM(554,417) = ( 554 × 417 ) / 1

LCM(554,417) = 231018 / 1

LCM(554,417) = 231018


Lets's calculate GCF of 16,7225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231018/1

Therefore the LCM of Fractions 554/16,417/7225 is 231018

Greatest Common Factor of 16,7225 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,7225 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1,5,17,25,85,289,425,1445,7225

Greatest Common Factor

We found the factors 16,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 16,7225 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 554/16, 417/7225

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 554/16, 417/7225?

Answer: LCM of Numerators as per given numbers 554/16, 417/7225 is

LCM of Numerators i.e. for 554,417 is 231018

GCF of denominators i.e. for 16,7225 is 1.

Thus, LCM of Fractions is 231018.Finally, LCM of Fractions for 554/16, 417/7225 is 231018.