Least Common Multiple of 901/575, 600/737, 947/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 901/575, 600/737, 947/592 quickly i.e. 511948200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/575, 600/737, 947/592 is 511948200.

LCM(901/575, 600/737, 947/592) = 511948200

LCM of 901/575, 600/737, 947/592

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 901/575,600/737,947/592

Given numbers are 901/575,600/737,947/592

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 901,600,947

Least Common Multiple of Numerators i.e. LCM of 901,600,947 is 511948200.

GCF of Denominators means GCF of 575,737,592 as per the given fractions.

GCF of 575,737,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,600,947

LCM of Fractions 901/575,600/737,947/592 is 511948200

Given numbers has no common factors except 1. So, there LCM is their product i.e 511948200

Least Common Multiple of 901,600,947 with GCF Formula

Least Common Multiple of 901,600,947 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 901,600,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,600,947) = 1

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

GCF(901,600,947) x common factors =1 x 1 = 1

LCM(901,600,947) = ( 901 × 600 × 947 ) / 1

LCM(901,600,947) = 511948200 / 1

LCM(901,600,947) = 511948200


Lets's calculate GCF of 575,737,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511948200/1

Therefore the LCM of Fractions 901/575,600/737,947/592 is 511948200

Greatest Common Factor of 575,737,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,737,592 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 575,737,592 . The biggest common factor number is the GCF number.
So the greatest common factor 575,737,592 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 901/575, 600/737, 947/592

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 901/575, 600/737, 947/592?

Answer: LCM of Numerators as per given numbers 901/575, 600/737, 947/592 is

LCM of Numerators i.e. for 901,600,947 is 511948200

GCF of denominators i.e. for 575,737,592 is 1.

Thus, LCM of Fractions is 511948200.Finally, LCM of Fractions for 901/575, 600/737, 947/592 is 511948200.