Least Common Multiple of 390/94, 357/2170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/94, 357/2170 quickly i.e. 23205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/94, 357/2170 is 23205.

LCM(390/94, 357/2170) = 23205

LCM of 390/94, 357/2170

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 390/94,357/2170

Given numbers are 390/94,357/2170

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 390,357

Least Common Multiple of Numerators i.e. LCM of 390,357 is 46410.

GCF of Denominators means GCF of 94,2170 as per the given fractions.

GCF of 94,2170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,357

LCM of Fractions 390/94,357/2170 is 23205

3 390, 357
130, 119

∴ So the LCM of the given numbers is 3 x 130 x 119 = 46410

Least Common Multiple of 390,357 with GCF Formula

Least Common Multiple of 390,357 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 390,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,357) = 3

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

GCF(390,357) x common factors =3 x 1 = 3

LCM(390,357) = ( 390 × 357 ) / 3

LCM(390,357) = 139230 / 3

LCM(390,357) = 46410


Lets's calculate GCF of 94,2170

2 94, 2170
47, 1085

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46410/2

Therefore the LCM of Fractions 390/94,357/2170 is 23205

Greatest Common Factor of 94,2170 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,2170 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170

Greatest Common Factor

We found the factors 94,2170 . The biggest common factor number is the GCF number.
So the greatest common factor 94,2170 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 390/94, 357/2170

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 390/94, 357/2170?

Answer: LCM of Numerators as per given numbers 390/94, 357/2170 is

LCM of Numerators i.e. for 390,357 is 46410

GCF of denominators i.e. for 94,2170 is 2.

Thus, LCM of Fractions is 23205.Finally, LCM of Fractions for 390/94, 357/2170 is 23205.