Least Common Multiple of 51/19, 77/607, 311/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/19, 77/607, 311/268 quickly i.e. 1221297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/19, 77/607, 311/268 is 1221297.

LCM(51/19, 77/607, 311/268) = 1221297

LCM of 51/19, 77/607, 311/268

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 51/19,77/607,311/268

Given numbers are 51/19,77/607,311/268

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 51,77,311

Least Common Multiple of Numerators i.e. LCM of 51,77,311 is 1221297.

GCF of Denominators means GCF of 19,607,268 as per the given fractions.

GCF of 19,607,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,77,311

LCM of Fractions 51/19,77/607,311/268 is 1221297

Given numbers has no common factors except 1. So, there LCM is their product i.e 1221297

Least Common Multiple of 51,77,311 with GCF Formula

Least Common Multiple of 51,77,311 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 51,77,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,77,311) = 1

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

GCF(51,77,311) x common factors =1 x 1 = 1

LCM(51,77,311) = ( 51 × 77 × 311 ) / 1

LCM(51,77,311) = 1221297 / 1

LCM(51,77,311) = 1221297


Lets's calculate GCF of 19,607,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1221297/1

Therefore the LCM of Fractions 51/19,77/607,311/268 is 1221297

Greatest Common Factor of 19,607,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,607,268 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 19,607,268 . The biggest common factor number is the GCF number.
So the greatest common factor 19,607,268 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 51/19, 77/607, 311/268

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 51/19, 77/607, 311/268?

Answer: LCM of Numerators as per given numbers 51/19, 77/607, 311/268 is

LCM of Numerators i.e. for 51,77,311 is 1221297

GCF of denominators i.e. for 19,607,268 is 1.

Thus, LCM of Fractions is 1221297.Finally, LCM of Fractions for 51/19, 77/607, 311/268 is 1221297.