Least Common Multiple of 712/185, 6892/3075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/185, 6892/3075 quickly i.e. 1226776/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/185, 6892/3075 is 1226776/5.

LCM(712/185, 6892/3075) = 1226776/5

LCM of 712/185, 6892/3075

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 712/185,6892/3075

Given numbers are 712/185,6892/3075

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 712,6892

Least Common Multiple of Numerators i.e. LCM of 712,6892 is 1226776.

GCF of Denominators means GCF of 185,3075 as per the given fractions.

GCF of 185,3075 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,6892

LCM of Fractions 712/185,6892/3075 is 1226776/5

2 712, 6892
2 356, 3446
178, 1723

∴ So the LCM of the given numbers is 2 x 2 x 178 x 1723 = 1226776

Least Common Multiple of 712,6892 with GCF Formula

Least Common Multiple of 712,6892 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 712,6892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,6892) = 4

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

GCF(712,6892) x common factors =4 x 1 = 4

LCM(712,6892) = ( 712 × 6892 ) / 4

LCM(712,6892) = 4907104 / 4

LCM(712,6892) = 1226776


Lets's calculate GCF of 185,3075

5 185, 3075
37, 615

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1226776/5

Therefore the LCM of Fractions 712/185,6892/3075 is 1226776/5

Greatest Common Factor of 185,3075 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,3075 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Greatest Common Factor

We found the factors 185,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 185,3075 is 5.


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 712/185, 6892/3075

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 712/185, 6892/3075?

Answer: LCM of Numerators as per given numbers 712/185, 6892/3075 is

LCM of Numerators i.e. for 712,6892 is 1226776

GCF of denominators i.e. for 185,3075 is 5.

Thus, LCM of Fractions is 1226776/5.Finally, LCM of Fractions for 712/185, 6892/3075 is 1226776/5.