Least Common Multiple of 624/560, 8517/1656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/560, 8517/1656 quickly i.e. 221442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/560, 8517/1656 is 221442.

LCM(624/560, 8517/1656) = 221442

LCM of 624/560, 8517/1656

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 624/560,8517/1656

Given numbers are 624/560,8517/1656

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 624,8517

Least Common Multiple of Numerators i.e. LCM of 624,8517 is 1771536.

GCF of Denominators means GCF of 560,1656 as per the given fractions.

GCF of 560,1656 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,8517

LCM of Fractions 624/560,8517/1656 is 221442

3 624, 8517
208, 2839

∴ So the LCM of the given numbers is 3 x 208 x 2839 = 1771536

Least Common Multiple of 624,8517 with GCF Formula

Least Common Multiple of 624,8517 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 624,8517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,8517) = 3

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

GCF(624,8517) x common factors =3 x 1 = 3

LCM(624,8517) = ( 624 × 8517 ) / 3

LCM(624,8517) = 5314608 / 3

LCM(624,8517) = 1771536


Lets's calculate GCF of 560,1656

2 560, 1656
2 280, 828
2 140, 414
70, 207

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1771536/8

Therefore the LCM of Fractions 624/560,8517/1656 is 221442

Greatest Common Factor of 560,1656 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,1656 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656

Greatest Common Factor

We found the factors 560,1656 . The biggest common factor number is the GCF number.
So the greatest common factor 560,1656 is 8.


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 624/560, 8517/1656

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 624/560, 8517/1656?

Answer: LCM of Numerators as per given numbers 624/560, 8517/1656 is

LCM of Numerators i.e. for 624,8517 is 1771536

GCF of denominators i.e. for 560,1656 is 8.

Thus, LCM of Fractions is 221442.Finally, LCM of Fractions for 624/560, 8517/1656 is 221442.