Least Common Multiple of 173/56, 856/8840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 173/56, 856/8840 quickly i.e. 18511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 173/56, 856/8840 is 18511.

LCM(173/56, 856/8840) = 18511

LCM of 173/56, 856/8840

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 173/56,856/8840

Given numbers are 173/56,856/8840

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 173,856

Least Common Multiple of Numerators i.e. LCM of 173,856 is 148088.

GCF of Denominators means GCF of 56,8840 as per the given fractions.

GCF of 56,8840 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 173,856

LCM of Fractions 173/56,856/8840 is 18511

Given numbers has no common factors except 1. So, there LCM is their product i.e 148088

Least Common Multiple of 173,856 with GCF Formula

Least Common Multiple of 173,856 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 173,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,856) = 1

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

GCF(173,856) x common factors =1 x 1 = 1

LCM(173,856) = ( 173 × 856 ) / 1

LCM(173,856) = 148088 / 1

LCM(173,856) = 148088


Lets's calculate GCF of 56,8840

2 56, 8840
2 28, 4420
2 14, 2210
7, 1105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148088/8

Therefore the LCM of Fractions 173/56,856/8840 is 18511

Greatest Common Factor of 56,8840 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,8840 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 8840

List of positive integer factors of 8840 that divides 8840 without a remainder.

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Greatest Common Factor

We found the factors 56,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 56,8840 is 8.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 173/56, 856/8840

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 173/56, 856/8840?

Answer: LCM of Numerators as per given numbers 173/56, 856/8840 is

LCM of Numerators i.e. for 173,856 is 148088

GCF of denominators i.e. for 56,8840 is 8.

Thus, LCM of Fractions is 18511.Finally, LCM of Fractions for 173/56, 856/8840 is 18511.