Least Common Multiple of 369/30, 193/79, 971/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/30, 193/79, 971/400 quickly i.e. 69151707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/30, 193/79, 971/400 is 69151707.

LCM(369/30, 193/79, 971/400) = 69151707

LCM of 369/30, 193/79, 971/400

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 369/30,193/79,971/400

Given numbers are 369/30,193/79,971/400

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 369,193,971

Least Common Multiple of Numerators i.e. LCM of 369,193,971 is 69151707.

GCF of Denominators means GCF of 30,79,400 as per the given fractions.

GCF of 30,79,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,193,971

LCM of Fractions 369/30,193/79,971/400 is 69151707

Given numbers has no common factors except 1. So, there LCM is their product i.e 69151707

Least Common Multiple of 369,193,971 with GCF Formula

Least Common Multiple of 369,193,971 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 369,193,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,193,971) = 1

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

GCF(369,193,971) x common factors =1 x 1 = 1

LCM(369,193,971) = ( 369 × 193 × 971 ) / 1

LCM(369,193,971) = 69151707 / 1

LCM(369,193,971) = 69151707


Lets's calculate GCF of 30,79,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69151707/1

Therefore the LCM of Fractions 369/30,193/79,971/400 is 69151707

Greatest Common Factor of 30,79,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,79,400 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 30,79,400 . The biggest common factor number is the GCF number.
So the greatest common factor 30,79,400 is 1.


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 369/30, 193/79, 971/400

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 369/30, 193/79, 971/400?

Answer: LCM of Numerators as per given numbers 369/30, 193/79, 971/400 is

LCM of Numerators i.e. for 369,193,971 is 69151707

GCF of denominators i.e. for 30,79,400 is 1.

Thus, LCM of Fractions is 69151707.Finally, LCM of Fractions for 369/30, 193/79, 971/400 is 69151707.