Least Common Multiple of 827/68, 186/67, 740/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/68, 186/67, 740/496 quickly i.e. 56914140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/68, 186/67, 740/496 is 56914140.

LCM(827/68, 186/67, 740/496) = 56914140

LCM of 827/68, 186/67, 740/496

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 827/68,186/67,740/496

Given numbers are 827/68,186/67,740/496

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 827,186,740

Least Common Multiple of Numerators i.e. LCM of 827,186,740 is 56914140.

GCF of Denominators means GCF of 68,67,496 as per the given fractions.

GCF of 68,67,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,186,740

LCM of Fractions 827/68,186/67,740/496 is 56914140

2 827, 186, 740
827, 93, 370

∴ So the LCM of the given numbers is 2 x 827 x 93 x 370 = 56914140

Least Common Multiple of 827,186,740 with GCF Formula

Least Common Multiple of 827,186,740 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 827,186,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,186,740) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(827,186,740) x common factors =1 x 2 = 2

LCM(827,186,740) = ( 827 × 186 × 740 ) / 2

LCM(827,186,740) = 113828280 / 2

LCM(827,186,740) = 56914140


Lets's calculate GCF of 68,67,496

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56914140/1

Therefore the LCM of Fractions 827/68,186/67,740/496 is 56914140

Greatest Common Factor of 68,67,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,67,496 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 68,67,496 . The biggest common factor number is the GCF number.
So the greatest common factor 68,67,496 is 1.


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 827/68, 186/67, 740/496

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 827/68, 186/67, 740/496?

Answer: LCM of Numerators as per given numbers 827/68, 186/67, 740/496 is

LCM of Numerators i.e. for 827,186,740 is 56914140

GCF of denominators i.e. for 68,67,496 is 1.

Thus, LCM of Fractions is 56914140.Finally, LCM of Fractions for 827/68, 186/67, 740/496 is 56914140.