Least Common Multiple of 993/767, 689/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/767, 689/858 quickly i.e. 52629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/767, 689/858 is 52629.

LCM(993/767, 689/858) = 52629

LCM of 993/767, 689/858

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 993/767,689/858

Given numbers are 993/767,689/858

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 993,689

Least Common Multiple of Numerators i.e. LCM of 993,689 is 684177.

GCF of Denominators means GCF of 767,858 as per the given fractions.

GCF of 767,858 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,689

LCM of Fractions 993/767,689/858 is 52629

Given numbers has no common factors except 1. So, there LCM is their product i.e 684177

Least Common Multiple of 993,689 with GCF Formula

Least Common Multiple of 993,689 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 993,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,689) = 1

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

GCF(993,689) x common factors =1 x 1 = 1

LCM(993,689) = ( 993 × 689 ) / 1

LCM(993,689) = 684177 / 1

LCM(993,689) = 684177


Lets's calculate GCF of 767,858

13 767, 858
59, 66

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684177/13

Therefore the LCM of Fractions 993/767,689/858 is 52629

Greatest Common Factor of 767,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,858 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 767,858 . The biggest common factor number is the GCF number.
So the greatest common factor 767,858 is 13.


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 993/767, 689/858

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 993/767, 689/858?

Answer: LCM of Numerators as per given numbers 993/767, 689/858 is

LCM of Numerators i.e. for 993,689 is 684177

GCF of denominators i.e. for 767,858 is 13.

Thus, LCM of Fractions is 52629.Finally, LCM of Fractions for 993/767, 689/858 is 52629.