Least Common Multiple of 397/87, 227/7568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 397/87, 227/7568 quickly i.e. 90119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/87, 227/7568 is 90119.

LCM(397/87, 227/7568) = 90119

LCM of 397/87, 227/7568

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 397/87,227/7568

Given numbers are 397/87,227/7568

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 397,227

Least Common Multiple of Numerators i.e. LCM of 397,227 is 90119.

GCF of Denominators means GCF of 87,7568 as per the given fractions.

GCF of 87,7568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,227

LCM of Fractions 397/87,227/7568 is 90119

Given numbers has no common factors except 1. So, there LCM is their product i.e 90119

Least Common Multiple of 397,227 with GCF Formula

Least Common Multiple of 397,227 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 397,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,227) = 1

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

GCF(397,227) x common factors =1 x 1 = 1

LCM(397,227) = ( 397 × 227 ) / 1

LCM(397,227) = 90119 / 1

LCM(397,227) = 90119


Lets's calculate GCF of 87,7568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90119/1

Therefore the LCM of Fractions 397/87,227/7568 is 90119

Greatest Common Factor of 87,7568 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,7568 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 7568

List of positive integer factors of 7568 that divides 7568 without a remainder.

1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568

Greatest Common Factor

We found the factors 87,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 87,7568 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 397/87, 227/7568

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 397/87, 227/7568?

Answer: LCM of Numerators as per given numbers 397/87, 227/7568 is

LCM of Numerators i.e. for 397,227 is 90119

GCF of denominators i.e. for 87,7568 is 1.

Thus, LCM of Fractions is 90119.Finally, LCM of Fractions for 397/87, 227/7568 is 90119.