Least Common Multiple of 68/689, 746/741, 436/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/689, 746/741, 436/824 quickly i.e. 2764676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/689, 746/741, 436/824 is 2764676.

LCM(68/689, 746/741, 436/824) = 2764676

LCM of 68/689, 746/741, 436/824

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 68/689,746/741,436/824

Given numbers are 68/689,746/741,436/824

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 68,746,436

Least Common Multiple of Numerators i.e. LCM of 68,746,436 is 2764676.

GCF of Denominators means GCF of 689,741,824 as per the given fractions.

GCF of 689,741,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,746,436

LCM of Fractions 68/689,746/741,436/824 is 2764676

2 68, 746, 436
2 34, 373, 218
17, 373, 109

∴ So the LCM of the given numbers is 2 x 2 x 17 x 373 x 109 = 2764676

Least Common Multiple of 68,746,436 with GCF Formula

Least Common Multiple of 68,746,436 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 68,746,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,746,436) = 2

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

GCF(68,746,436) x common factors =2 x 4 = 8

LCM(68,746,436) = ( 68 × 746 × 436 ) / 8

LCM(68,746,436) = 22117408 / 8

LCM(68,746,436) = 2764676


Lets's calculate GCF of 689,741,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2764676/1

Therefore the LCM of Fractions 68/689,746/741,436/824 is 2764676

Greatest Common Factor of 689,741,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,741,824 By Matching Biggest Common Factor Method

Factors of 689

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

1,13,53,689

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 689,741,824 . The biggest common factor number is the GCF number.
So the greatest common factor 689,741,824 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 68/689, 746/741, 436/824

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 68/689, 746/741, 436/824?

Answer: LCM of Numerators as per given numbers 68/689, 746/741, 436/824 is

LCM of Numerators i.e. for 68,746,436 is 2764676

GCF of denominators i.e. for 689,741,824 is 1.

Thus, LCM of Fractions is 2764676.Finally, LCM of Fractions for 68/689, 746/741, 436/824 is 2764676.