Least Common Multiple of 571/523, 3757/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/523, 3757/964 quickly i.e. 2145247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/523, 3757/964 is 2145247.

LCM(571/523, 3757/964) = 2145247

LCM of 571/523, 3757/964

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 571/523,3757/964

Given numbers are 571/523,3757/964

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 571,3757

Least Common Multiple of Numerators i.e. LCM of 571,3757 is 2145247.

GCF of Denominators means GCF of 523,964 as per the given fractions.

GCF of 523,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,3757

LCM of Fractions 571/523,3757/964 is 2145247

Given numbers has no common factors except 1. So, there LCM is their product i.e 2145247

Least Common Multiple of 571,3757 with GCF Formula

Least Common Multiple of 571,3757 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 571,3757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,3757) = 1

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

GCF(571,3757) x common factors =1 x 1 = 1

LCM(571,3757) = ( 571 × 3757 ) / 1

LCM(571,3757) = 2145247 / 1

LCM(571,3757) = 2145247


Lets's calculate GCF of 523,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2145247/1

Therefore the LCM of Fractions 571/523,3757/964 is 2145247

Greatest Common Factor of 523,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,964 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 523,964 . The biggest common factor number is the GCF number.
So the greatest common factor 523,964 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 571/523, 3757/964

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 571/523, 3757/964?

Answer: LCM of Numerators as per given numbers 571/523, 3757/964 is

LCM of Numerators i.e. for 571,3757 is 2145247

GCF of denominators i.e. for 523,964 is 1.

Thus, LCM of Fractions is 2145247.Finally, LCM of Fractions for 571/523, 3757/964 is 2145247.