Least Common Multiple of 237/67, 495/3346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 237/67, 495/3346 quickly i.e. 39105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/67, 495/3346 is 39105.

LCM(237/67, 495/3346) = 39105

LCM of 237/67, 495/3346

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 237/67,495/3346

Given numbers are 237/67,495/3346

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 237,495

Least Common Multiple of Numerators i.e. LCM of 237,495 is 39105.

GCF of Denominators means GCF of 67,3346 as per the given fractions.

GCF of 67,3346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,495

LCM of Fractions 237/67,495/3346 is 39105

3 237, 495
79, 165

∴ So the LCM of the given numbers is 3 x 79 x 165 = 39105

Least Common Multiple of 237,495 with GCF Formula

Least Common Multiple of 237,495 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 237,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,495) = 3

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

GCF(237,495) x common factors =3 x 1 = 3

LCM(237,495) = ( 237 × 495 ) / 3

LCM(237,495) = 117315 / 3

LCM(237,495) = 39105


Lets's calculate GCF of 67,3346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39105/1

Therefore the LCM of Fractions 237/67,495/3346 is 39105

Greatest Common Factor of 67,3346 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,3346 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 3346

List of positive integer factors of 3346 that divides 3346 without a remainder.

1,2,7,14,239,478,1673,3346

Greatest Common Factor

We found the factors 67,3346 . The biggest common factor number is the GCF number.
So the greatest common factor 67,3346 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 237/67, 495/3346

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 237/67, 495/3346?

Answer: LCM of Numerators as per given numbers 237/67, 495/3346 is

LCM of Numerators i.e. for 237,495 is 39105

GCF of denominators i.e. for 67,3346 is 1.

Thus, LCM of Fractions is 39105.Finally, LCM of Fractions for 237/67, 495/3346 is 39105.