Least Common Multiple of 1561/928, 9014/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1561/928, 9014/899 quickly i.e. 14070854/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1561/928, 9014/899 is 14070854/29.

LCM(1561/928, 9014/899) = 14070854/29

LCM of 1561/928, 9014/899

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 1561/928,9014/899

Given numbers are 1561/928,9014/899

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 1561,9014

Least Common Multiple of Numerators i.e. LCM of 1561,9014 is 14070854.

GCF of Denominators means GCF of 928,899 as per the given fractions.

GCF of 928,899 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1561,9014

LCM of Fractions 1561/928,9014/899 is 14070854/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 14070854

Least Common Multiple of 1561,9014 with GCF Formula

Least Common Multiple of 1561,9014 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 1561,9014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1561,9014) = 1

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

GCF(1561,9014) x common factors =1 x 1 = 1

LCM(1561,9014) = ( 1561 × 9014 ) / 1

LCM(1561,9014) = 14070854 / 1

LCM(1561,9014) = 14070854


Lets's calculate GCF of 928,899

29 928, 899
32, 31

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14070854/29

Therefore the LCM of Fractions 1561/928,9014/899 is 14070854/29

Greatest Common Factor of 928,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,899 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 928,899 . The biggest common factor number is the GCF number.
So the greatest common factor 928,899 is 29.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1561/928, 9014/899

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 1561/928, 9014/899?

Answer: LCM of Numerators as per given numbers 1561/928, 9014/899 is

LCM of Numerators i.e. for 1561,9014 is 14070854

GCF of denominators i.e. for 928,899 is 29.

Thus, LCM of Fractions is 14070854/29.Finally, LCM of Fractions for 1561/928, 9014/899 is 14070854/29.