Least Common Multiple of 1913/688, 7755/5027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1913/688, 7755/5027 quickly i.e. 14835315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1913/688, 7755/5027 is 14835315.

LCM(1913/688, 7755/5027) = 14835315

LCM of 1913/688, 7755/5027

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 1913/688,7755/5027

Given numbers are 1913/688,7755/5027

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 1913,7755

Least Common Multiple of Numerators i.e. LCM of 1913,7755 is 14835315.

GCF of Denominators means GCF of 688,5027 as per the given fractions.

GCF of 688,5027 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1913,7755

LCM of Fractions 1913/688,7755/5027 is 14835315

Given numbers has no common factors except 1. So, there LCM is their product i.e 14835315

Least Common Multiple of 1913,7755 with GCF Formula

Least Common Multiple of 1913,7755 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 1913,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1913,7755) = 1

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

GCF(1913,7755) x common factors =1 x 1 = 1

LCM(1913,7755) = ( 1913 × 7755 ) / 1

LCM(1913,7755) = 14835315 / 1

LCM(1913,7755) = 14835315


Lets's calculate GCF of 688,5027

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14835315/1

Therefore the LCM of Fractions 1913/688,7755/5027 is 14835315

Greatest Common Factor of 688,5027 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,5027 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 5027

List of positive integer factors of 5027 that divides 5027 without a remainder.

1,11,457,5027

Greatest Common Factor

We found the factors 688,5027 . The biggest common factor number is the GCF number.
So the greatest common factor 688,5027 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 1913/688, 7755/5027

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 1913/688, 7755/5027?

Answer: LCM of Numerators as per given numbers 1913/688, 7755/5027 is

LCM of Numerators i.e. for 1913,7755 is 14835315

GCF of denominators i.e. for 688,5027 is 1.

Thus, LCM of Fractions is 14835315.Finally, LCM of Fractions for 1913/688, 7755/5027 is 14835315.