Least Common Multiple of 562/178, 505/935, 592/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/178, 505/935, 592/564 quickly i.e. 84007760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/178, 505/935, 592/564 is 84007760.

LCM(562/178, 505/935, 592/564) = 84007760

LCM of 562/178, 505/935, 592/564

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 562/178,505/935,592/564

Given numbers are 562/178,505/935,592/564

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 562,505,592

Least Common Multiple of Numerators i.e. LCM of 562,505,592 is 84007760.

GCF of Denominators means GCF of 178,935,564 as per the given fractions.

GCF of 178,935,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,505,592

LCM of Fractions 562/178,505/935,592/564 is 84007760

2 562, 505, 592
281, 505, 296

∴ So the LCM of the given numbers is 2 x 281 x 505 x 296 = 84007760

Least Common Multiple of 562,505,592 with GCF Formula

Least Common Multiple of 562,505,592 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 562,505,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,505,592) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(562,505,592) x common factors =1 x 2 = 2

LCM(562,505,592) = ( 562 × 505 × 592 ) / 2

LCM(562,505,592) = 168015520 / 2

LCM(562,505,592) = 84007760


Lets's calculate GCF of 178,935,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84007760/1

Therefore the LCM of Fractions 562/178,505/935,592/564 is 84007760

Greatest Common Factor of 178,935,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,935,564 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

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

Greatest Common Factor

We found the factors 178,935,564 . The biggest common factor number is the GCF number.
So the greatest common factor 178,935,564 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 562/178, 505/935, 592/564

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 562/178, 505/935, 592/564?

Answer: LCM of Numerators as per given numbers 562/178, 505/935, 592/564 is

LCM of Numerators i.e. for 562,505,592 is 84007760

GCF of denominators i.e. for 178,935,564 is 1.

Thus, LCM of Fractions is 84007760.Finally, LCM of Fractions for 562/178, 505/935, 592/564 is 84007760.