Least Common Multiple of 34/708, 68/998, 426/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/708, 68/998, 426/587 quickly i.e. 14484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/708, 68/998, 426/587 is 14484.

LCM(34/708, 68/998, 426/587) = 14484

LCM of 34/708, 68/998, 426/587

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 34/708,68/998,426/587

Given numbers are 34/708,68/998,426/587

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 34,68,426

Least Common Multiple of Numerators i.e. LCM of 34,68,426 is 14484.

GCF of Denominators means GCF of 708,998,587 as per the given fractions.

GCF of 708,998,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,68,426

LCM of Fractions 34/708,68/998,426/587 is 14484

2 34, 68, 426
17 17, 34, 213
1, 2, 213

∴ So the LCM of the given numbers is 2 x 17 x 1 x 2 x 213 = 14484

Least Common Multiple of 34,68,426 with GCF Formula

Least Common Multiple of 34,68,426 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 34,68,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,426) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,68,426) x common factors =2 x 34 = 68

LCM(34,68,426) = ( 34 × 68 × 426 ) / 68

LCM(34,68,426) = 984912 / 68

LCM(34,68,426) = 14484


Lets's calculate GCF of 708,998,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14484/1

Therefore the LCM of Fractions 34/708,68/998,426/587 is 14484

Greatest Common Factor of 708,998,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,998,587 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 708,998,587 . The biggest common factor number is the GCF number.
So the greatest common factor 708,998,587 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 34/708, 68/998, 426/587

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 34/708, 68/998, 426/587?

Answer: LCM of Numerators as per given numbers 34/708, 68/998, 426/587 is

LCM of Numerators i.e. for 34,68,426 is 14484

GCF of denominators i.e. for 708,998,587 is 1.

Thus, LCM of Fractions is 14484.Finally, LCM of Fractions for 34/708, 68/998, 426/587 is 14484.