Least Common Multiple of 30/322, 49/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/322, 49/595 quickly i.e. 210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/322, 49/595 is 210.

LCM(30/322, 49/595) = 210

LCM of 30/322, 49/595

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 30/322,49/595

Given numbers are 30/322,49/595

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 30,49

Least Common Multiple of Numerators i.e. LCM of 30,49 is 1470.

GCF of Denominators means GCF of 322,595 as per the given fractions.

GCF of 322,595 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,49

LCM of Fractions 30/322,49/595 is 210

Given numbers has no common factors except 1. So, there LCM is their product i.e 1470

Least Common Multiple of 30,49 with GCF Formula

Least Common Multiple of 30,49 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 30,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,49) = 1

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

GCF(30,49) x common factors =1 x 1 = 1

LCM(30,49) = ( 30 × 49 ) / 1

LCM(30,49) = 1470 / 1

LCM(30,49) = 1470


Lets's calculate GCF of 322,595

7 322, 595
46, 85

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1470/7

Therefore the LCM of Fractions 30/322,49/595 is 210

Greatest Common Factor of 322,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,595 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 322,595 . The biggest common factor number is the GCF number.
So the greatest common factor 322,595 is 7.


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 30/322, 49/595

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 30/322, 49/595?

Answer: LCM of Numerators as per given numbers 30/322, 49/595 is

LCM of Numerators i.e. for 30,49 is 1470

GCF of denominators i.e. for 322,595 is 7.

Thus, LCM of Fractions is 210.Finally, LCM of Fractions for 30/322, 49/595 is 210.