Least Common Multiple of 34/832, 718/56, 658/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/832, 718/56, 658/699 quickly i.e. 4015774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/832, 718/56, 658/699 is 4015774.

LCM(34/832, 718/56, 658/699) = 4015774

LCM of 34/832, 718/56, 658/699

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 34/832,718/56,658/699

Given numbers are 34/832,718/56,658/699

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 34,718,658

Least Common Multiple of Numerators i.e. LCM of 34,718,658 is 4015774.

GCF of Denominators means GCF of 832,56,699 as per the given fractions.

GCF of 832,56,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,718,658

LCM of Fractions 34/832,718/56,658/699 is 4015774

2 34, 718, 658
17, 359, 329

∴ So the LCM of the given numbers is 2 x 17 x 359 x 329 = 4015774

Least Common Multiple of 34,718,658 with GCF Formula

Least Common Multiple of 34,718,658 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 34,718,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,718,658) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,718,658) x common factors =2 x 2 = 4

LCM(34,718,658) = ( 34 × 718 × 658 ) / 4

LCM(34,718,658) = 16063096 / 4

LCM(34,718,658) = 4015774


Lets's calculate GCF of 832,56,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4015774/1

Therefore the LCM of Fractions 34/832,718/56,658/699 is 4015774

Greatest Common Factor of 832,56,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,56,699 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 832,56,699 . The biggest common factor number is the GCF number.
So the greatest common factor 832,56,699 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/832, 718/56, 658/699

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 34/832, 718/56, 658/699?

Answer: LCM of Numerators as per given numbers 34/832, 718/56, 658/699 is

LCM of Numerators i.e. for 34,718,658 is 4015774

GCF of denominators i.e. for 832,56,699 is 1.

Thus, LCM of Fractions is 4015774.Finally, LCM of Fractions for 34/832, 718/56, 658/699 is 4015774.