Least Common Multiple of 574/30, 569/52, 417/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/30, 569/52, 417/971 quickly i.e. 136194702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/30, 569/52, 417/971 is 136194702.

LCM(574/30, 569/52, 417/971) = 136194702

LCM of 574/30, 569/52, 417/971

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 574/30,569/52,417/971

Given numbers are 574/30,569/52,417/971

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 574,569,417

Least Common Multiple of Numerators i.e. LCM of 574,569,417 is 136194702.

GCF of Denominators means GCF of 30,52,971 as per the given fractions.

GCF of 30,52,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,569,417

LCM of Fractions 574/30,569/52,417/971 is 136194702

Given numbers has no common factors except 1. So, there LCM is their product i.e 136194702

Least Common Multiple of 574,569,417 with GCF Formula

Least Common Multiple of 574,569,417 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 574,569,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,569,417) = 1

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

GCF(574,569,417) x common factors =1 x 1 = 1

LCM(574,569,417) = ( 574 × 569 × 417 ) / 1

LCM(574,569,417) = 136194702 / 1

LCM(574,569,417) = 136194702


Lets's calculate GCF of 30,52,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136194702/1

Therefore the LCM of Fractions 574/30,569/52,417/971 is 136194702

Greatest Common Factor of 30,52,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,52,971 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 30,52,971 . The biggest common factor number is the GCF number.
So the greatest common factor 30,52,971 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 574/30, 569/52, 417/971

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 574/30, 569/52, 417/971?

Answer: LCM of Numerators as per given numbers 574/30, 569/52, 417/971 is

LCM of Numerators i.e. for 574,569,417 is 136194702

GCF of denominators i.e. for 30,52,971 is 1.

Thus, LCM of Fractions is 136194702.Finally, LCM of Fractions for 574/30, 569/52, 417/971 is 136194702.