Least Common Multiple of 278/665, 669/963, 278/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/665, 669/963, 278/505 quickly i.e. 185982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/665, 669/963, 278/505 is 185982.

LCM(278/665, 669/963, 278/505) = 185982

LCM of 278/665, 669/963, 278/505

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 278/665,669/963,278/505

Given numbers are 278/665,669/963,278/505

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 278,669,278

Least Common Multiple of Numerators i.e. LCM of 278,669,278 is 185982.

GCF of Denominators means GCF of 665,963,505 as per the given fractions.

GCF of 665,963,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,669,278

LCM of Fractions 278/665,669/963,278/505 is 185982

2 278, 669, 278
139 139, 669, 139
1, 669, 1

∴ So the LCM of the given numbers is 2 x 139 x 1 x 669 x 1 = 185982

Least Common Multiple of 278,669,278 with GCF Formula

Least Common Multiple of 278,669,278 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 278,669,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,669,278) = 1

common factors(in case of two or more numbers have common factors) = 278

GCF(278,669,278) x common factors =1 x 278 = 278

LCM(278,669,278) = ( 278 × 669 × 278 ) / 278

LCM(278,669,278) = 51702996 / 278

LCM(278,669,278) = 185982


Lets's calculate GCF of 665,963,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185982/1

Therefore the LCM of Fractions 278/665,669/963,278/505 is 185982

Greatest Common Factor of 665,963,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,963,505 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 665,963,505 . The biggest common factor number is the GCF number.
So the greatest common factor 665,963,505 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 278/665, 669/963, 278/505

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 278/665, 669/963, 278/505?

Answer: LCM of Numerators as per given numbers 278/665, 669/963, 278/505 is

LCM of Numerators i.e. for 278,669,278 is 185982

GCF of denominators i.e. for 665,963,505 is 1.

Thus, LCM of Fractions is 185982.Finally, LCM of Fractions for 278/665, 669/963, 278/505 is 185982.