Least Common Multiple of 225/77, 437/6617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 225/77, 437/6617 quickly i.e. 98325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/77, 437/6617 is 98325.

LCM(225/77, 437/6617) = 98325

LCM of 225/77, 437/6617

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 225/77,437/6617

Given numbers are 225/77,437/6617

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 225,437

Least Common Multiple of Numerators i.e. LCM of 225,437 is 98325.

GCF of Denominators means GCF of 77,6617 as per the given fractions.

GCF of 77,6617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,437

LCM of Fractions 225/77,437/6617 is 98325

Given numbers has no common factors except 1. So, there LCM is their product i.e 98325

Least Common Multiple of 225,437 with GCF Formula

Least Common Multiple of 225,437 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 225,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,437) = 1

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

GCF(225,437) x common factors =1 x 1 = 1

LCM(225,437) = ( 225 × 437 ) / 1

LCM(225,437) = 98325 / 1

LCM(225,437) = 98325


Lets's calculate GCF of 77,6617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98325/1

Therefore the LCM of Fractions 225/77,437/6617 is 98325

Greatest Common Factor of 77,6617 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,6617 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1,13,509,6617

Greatest Common Factor

We found the factors 77,6617 . The biggest common factor number is the GCF number.
So the greatest common factor 77,6617 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 225/77, 437/6617

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 225/77, 437/6617?

Answer: LCM of Numerators as per given numbers 225/77, 437/6617 is

LCM of Numerators i.e. for 225,437 is 98325

GCF of denominators i.e. for 77,6617 is 1.

Thus, LCM of Fractions is 98325.Finally, LCM of Fractions for 225/77, 437/6617 is 98325.