Least Common Multiple of 7/564, 61/757, 46/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/564, 61/757, 46/523 quickly i.e. 19642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/564, 61/757, 46/523 is 19642.

LCM(7/564, 61/757, 46/523) = 19642

LCM of 7/564, 61/757, 46/523

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 7/564,61/757,46/523

Given numbers are 7/564,61/757,46/523

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 7,61,46

Least Common Multiple of Numerators i.e. LCM of 7,61,46 is 19642.

GCF of Denominators means GCF of 564,757,523 as per the given fractions.

GCF of 564,757,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,61,46

LCM of Fractions 7/564,61/757,46/523 is 19642

Given numbers has no common factors except 1. So, there LCM is their product i.e 19642

Least Common Multiple of 7,61,46 with GCF Formula

Least Common Multiple of 7,61,46 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 7,61,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,61,46) = 1

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

GCF(7,61,46) x common factors =1 x 1 = 1

LCM(7,61,46) = ( 7 × 61 × 46 ) / 1

LCM(7,61,46) = 19642 / 1

LCM(7,61,46) = 19642


Lets's calculate GCF of 564,757,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19642/1

Therefore the LCM of Fractions 7/564,61/757,46/523 is 19642

Greatest Common Factor of 564,757,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,757,523 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 523

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

1,523

Greatest Common Factor

We found the factors 564,757,523 . The biggest common factor number is the GCF number.
So the greatest common factor 564,757,523 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 7/564, 61/757, 46/523

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 7/564, 61/757, 46/523?

Answer: LCM of Numerators as per given numbers 7/564, 61/757, 46/523 is

LCM of Numerators i.e. for 7,61,46 is 19642

GCF of denominators i.e. for 564,757,523 is 1.

Thus, LCM of Fractions is 19642.Finally, LCM of Fractions for 7/564, 61/757, 46/523 is 19642.