Least Common Multiple of 72/677, 362/968, 506/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/677, 362/968, 506/194 quickly i.e. 3297096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/677, 362/968, 506/194 is 3297096.

LCM(72/677, 362/968, 506/194) = 3297096

LCM of 72/677, 362/968, 506/194

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 72/677,362/968,506/194

Given numbers are 72/677,362/968,506/194

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 72,362,506

Least Common Multiple of Numerators i.e. LCM of 72,362,506 is 3297096.

GCF of Denominators means GCF of 677,968,194 as per the given fractions.

GCF of 677,968,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,362,506

LCM of Fractions 72/677,362/968,506/194 is 3297096

2 72, 362, 506
36, 181, 253

∴ So the LCM of the given numbers is 2 x 36 x 181 x 253 = 3297096

Least Common Multiple of 72,362,506 with GCF Formula

Least Common Multiple of 72,362,506 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 72,362,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,362,506) = 2

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

GCF(72,362,506) x common factors =2 x 2 = 4

LCM(72,362,506) = ( 72 × 362 × 506 ) / 4

LCM(72,362,506) = 13188384 / 4

LCM(72,362,506) = 3297096


Lets's calculate GCF of 677,968,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3297096/1

Therefore the LCM of Fractions 72/677,362/968,506/194 is 3297096

Greatest Common Factor of 677,968,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,968,194 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 677,968,194 . The biggest common factor number is the GCF number.
So the greatest common factor 677,968,194 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 72/677, 362/968, 506/194

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 72/677, 362/968, 506/194?

Answer: LCM of Numerators as per given numbers 72/677, 362/968, 506/194 is

LCM of Numerators i.e. for 72,362,506 is 3297096

GCF of denominators i.e. for 677,968,194 is 1.

Thus, LCM of Fractions is 3297096.Finally, LCM of Fractions for 72/677, 362/968, 506/194 is 3297096.