Least Common Multiple of 495/51, 278/9316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/51, 278/9316 quickly i.e. 137610/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/51, 278/9316 is 137610/17.

LCM(495/51, 278/9316) = 137610/17

LCM of 495/51, 278/9316

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 495/51,278/9316

Given numbers are 495/51,278/9316

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 495,278

Least Common Multiple of Numerators i.e. LCM of 495,278 is 137610.

GCF of Denominators means GCF of 51,9316 as per the given fractions.

GCF of 51,9316 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,278

LCM of Fractions 495/51,278/9316 is 137610/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 137610

Least Common Multiple of 495,278 with GCF Formula

Least Common Multiple of 495,278 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 495,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,278) = 1

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

GCF(495,278) x common factors =1 x 1 = 1

LCM(495,278) = ( 495 × 278 ) / 1

LCM(495,278) = 137610 / 1

LCM(495,278) = 137610


Lets's calculate GCF of 51,9316

17 51, 9316
3, 548

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137610/17

Therefore the LCM of Fractions 495/51,278/9316 is 137610/17

Greatest Common Factor of 51,9316 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,9316 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1,2,4,17,34,68,137,274,548,2329,4658,9316

Greatest Common Factor

We found the factors 51,9316 . The biggest common factor number is the GCF number.
So the greatest common factor 51,9316 is 17.


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 495/51, 278/9316

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 495/51, 278/9316?

Answer: LCM of Numerators as per given numbers 495/51, 278/9316 is

LCM of Numerators i.e. for 495,278 is 137610

GCF of denominators i.e. for 51,9316 is 17.

Thus, LCM of Fractions is 137610/17.Finally, LCM of Fractions for 495/51, 278/9316 is 137610/17.