Least Common Multiple of 68/734, 879/788, 992/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/734, 879/788, 992/689 quickly i.e. 14823456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/734, 879/788, 992/689 is 14823456.

LCM(68/734, 879/788, 992/689) = 14823456

LCM of 68/734, 879/788, 992/689

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 68/734,879/788,992/689

Given numbers are 68/734,879/788,992/689

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 68,879,992

Least Common Multiple of Numerators i.e. LCM of 68,879,992 is 14823456.

GCF of Denominators means GCF of 734,788,689 as per the given fractions.

GCF of 734,788,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,879,992

LCM of Fractions 68/734,879/788,992/689 is 14823456

2 68, 879, 992
2 34, 879, 496
17, 879, 248

∴ So the LCM of the given numbers is 2 x 2 x 17 x 879 x 248 = 14823456

Least Common Multiple of 68,879,992 with GCF Formula

Least Common Multiple of 68,879,992 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 68,879,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,879,992) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,879,992) x common factors =1 x 4 = 4

LCM(68,879,992) = ( 68 × 879 × 992 ) / 4

LCM(68,879,992) = 59293824 / 4

LCM(68,879,992) = 14823456


Lets's calculate GCF of 734,788,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14823456/1

Therefore the LCM of Fractions 68/734,879/788,992/689 is 14823456

Greatest Common Factor of 734,788,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,788,689 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 734,788,689 . The biggest common factor number is the GCF number.
So the greatest common factor 734,788,689 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 68/734, 879/788, 992/689

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 68/734, 879/788, 992/689?

Answer: LCM of Numerators as per given numbers 68/734, 879/788, 992/689 is

LCM of Numerators i.e. for 68,879,992 is 14823456

GCF of denominators i.e. for 734,788,689 is 1.

Thus, LCM of Fractions is 14823456.Finally, LCM of Fractions for 68/734, 879/788, 992/689 is 14823456.