Least Common Multiple of 2248/664, 2315/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2248/664, 2315/385 quickly i.e. 5204120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2248/664, 2315/385 is 5204120.

LCM(2248/664, 2315/385) = 5204120

LCM of 2248/664, 2315/385

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 2248/664,2315/385

Given numbers are 2248/664,2315/385

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 2248,2315

Least Common Multiple of Numerators i.e. LCM of 2248,2315 is 5204120.

GCF of Denominators means GCF of 664,385 as per the given fractions.

GCF of 664,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2248,2315

LCM of Fractions 2248/664,2315/385 is 5204120

Given numbers has no common factors except 1. So, there LCM is their product i.e 5204120

Least Common Multiple of 2248,2315 with GCF Formula

Least Common Multiple of 2248,2315 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 2248,2315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2248,2315) = 1

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

GCF(2248,2315) x common factors =1 x 1 = 1

LCM(2248,2315) = ( 2248 × 2315 ) / 1

LCM(2248,2315) = 5204120 / 1

LCM(2248,2315) = 5204120


Lets's calculate GCF of 664,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5204120/1

Therefore the LCM of Fractions 2248/664,2315/385 is 5204120

Greatest Common Factor of 664,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,385 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 664,385 . The biggest common factor number is the GCF number.
So the greatest common factor 664,385 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2248/664, 2315/385

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 2248/664, 2315/385?

Answer: LCM of Numerators as per given numbers 2248/664, 2315/385 is

LCM of Numerators i.e. for 2248,2315 is 5204120

GCF of denominators i.e. for 664,385 is 1.

Thus, LCM of Fractions is 5204120.Finally, LCM of Fractions for 2248/664, 2315/385 is 5204120.