Least Common Multiple of 6128/174, 6827/8120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6128/174, 6827/8120 quickly i.e. 41835856/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6128/174, 6827/8120 is 41835856/58.

LCM(6128/174, 6827/8120) = 41835856/58

LCM of 6128/174, 6827/8120

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 6128/174,6827/8120

Given numbers are 6128/174,6827/8120

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 6128,6827

Least Common Multiple of Numerators i.e. LCM of 6128,6827 is 41835856.

GCF of Denominators means GCF of 174,8120 as per the given fractions.

GCF of 174,8120 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6128,6827

LCM of Fractions 6128/174,6827/8120 is 41835856/58

Given numbers has no common factors except 1. So, there LCM is their product i.e 41835856

Least Common Multiple of 6128,6827 with GCF Formula

Least Common Multiple of 6128,6827 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 6128,6827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6128,6827) = 1

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

GCF(6128,6827) x common factors =1 x 1 = 1

LCM(6128,6827) = ( 6128 × 6827 ) / 1

LCM(6128,6827) = 41835856 / 1

LCM(6128,6827) = 41835856


Lets's calculate GCF of 174,8120

2 174, 8120
29 87, 4060
3, 140

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41835856/58

Therefore the LCM of Fractions 6128/174,6827/8120 is 41835856/58

Greatest Common Factor of 174,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,8120 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors 174,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 174,8120 is 58.


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 6128/174, 6827/8120

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 6128/174, 6827/8120?

Answer: LCM of Numerators as per given numbers 6128/174, 6827/8120 is

LCM of Numerators i.e. for 6128,6827 is 41835856

GCF of denominators i.e. for 174,8120 is 58.

Thus, LCM of Fractions is 41835856/58.Finally, LCM of Fractions for 6128/174, 6827/8120 is 41835856/58.