Least Common Multiple of 689/602, 283/848, 782/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/602, 283/848, 782/435 quickly i.e. 152479834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/602, 283/848, 782/435 is 152479834.

LCM(689/602, 283/848, 782/435) = 152479834

LCM of 689/602, 283/848, 782/435

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 689/602,283/848,782/435

Given numbers are 689/602,283/848,782/435

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 689,283,782

Least Common Multiple of Numerators i.e. LCM of 689,283,782 is 152479834.

GCF of Denominators means GCF of 602,848,435 as per the given fractions.

GCF of 602,848,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,283,782

LCM of Fractions 689/602,283/848,782/435 is 152479834

Given numbers has no common factors except 1. So, there LCM is their product i.e 152479834

Least Common Multiple of 689,283,782 with GCF Formula

Least Common Multiple of 689,283,782 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 689,283,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,283,782) = 1

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

GCF(689,283,782) x common factors =1 x 1 = 1

LCM(689,283,782) = ( 689 × 283 × 782 ) / 1

LCM(689,283,782) = 152479834 / 1

LCM(689,283,782) = 152479834


Lets's calculate GCF of 602,848,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152479834/1

Therefore the LCM of Fractions 689/602,283/848,782/435 is 152479834

Greatest Common Factor of 602,848,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,848,435 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 602,848,435 . The biggest common factor number is the GCF number.
So the greatest common factor 602,848,435 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 689/602, 283/848, 782/435

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 689/602, 283/848, 782/435?

Answer: LCM of Numerators as per given numbers 689/602, 283/848, 782/435 is

LCM of Numerators i.e. for 689,283,782 is 152479834

GCF of denominators i.e. for 602,848,435 is 1.

Thus, LCM of Fractions is 152479834.Finally, LCM of Fractions for 689/602, 283/848, 782/435 is 152479834.