Least Common Multiple of 315/90, 382/1337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 315/90, 382/1337 quickly i.e. 120330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/90, 382/1337 is 120330.

LCM(315/90, 382/1337) = 120330

LCM of 315/90, 382/1337

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 315/90,382/1337

Given numbers are 315/90,382/1337

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 315,382

Least Common Multiple of Numerators i.e. LCM of 315,382 is 120330.

GCF of Denominators means GCF of 90,1337 as per the given fractions.

GCF of 90,1337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,382

LCM of Fractions 315/90,382/1337 is 120330

Given numbers has no common factors except 1. So, there LCM is their product i.e 120330

Least Common Multiple of 315,382 with GCF Formula

Least Common Multiple of 315,382 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 315,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,382) = 1

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

GCF(315,382) x common factors =1 x 1 = 1

LCM(315,382) = ( 315 × 382 ) / 1

LCM(315,382) = 120330 / 1

LCM(315,382) = 120330


Lets's calculate GCF of 90,1337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120330/1

Therefore the LCM of Fractions 315/90,382/1337 is 120330

Greatest Common Factor of 90,1337 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,1337 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 1337

List of positive integer factors of 1337 that divides 1337 without a remainder.

1,7,191,1337

Greatest Common Factor

We found the factors 90,1337 . The biggest common factor number is the GCF number.
So the greatest common factor 90,1337 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 315/90, 382/1337

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 315/90, 382/1337?

Answer: LCM of Numerators as per given numbers 315/90, 382/1337 is

LCM of Numerators i.e. for 315,382 is 120330

GCF of denominators i.e. for 90,1337 is 1.

Thus, LCM of Fractions is 120330.Finally, LCM of Fractions for 315/90, 382/1337 is 120330.