Least Common Multiple of 704/26, 870/6590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/26, 870/6590 quickly i.e. 153120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/26, 870/6590 is 153120.

LCM(704/26, 870/6590) = 153120

LCM of 704/26, 870/6590

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 704/26,870/6590

Given numbers are 704/26,870/6590

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 704,870

Least Common Multiple of Numerators i.e. LCM of 704,870 is 306240.

GCF of Denominators means GCF of 26,6590 as per the given fractions.

GCF of 26,6590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,870

LCM of Fractions 704/26,870/6590 is 153120

2 704, 870
352, 435

∴ So the LCM of the given numbers is 2 x 352 x 435 = 306240

Least Common Multiple of 704,870 with GCF Formula

Least Common Multiple of 704,870 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 704,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,870) = 2

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

GCF(704,870) x common factors =2 x 1 = 2

LCM(704,870) = ( 704 × 870 ) / 2

LCM(704,870) = 612480 / 2

LCM(704,870) = 306240


Lets's calculate GCF of 26,6590

2 26, 6590
13, 3295

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306240/2

Therefore the LCM of Fractions 704/26,870/6590 is 153120

Greatest Common Factor of 26,6590 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,6590 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 6590

List of positive integer factors of 6590 that divides 6590 without a remainder.

1,2,5,10,659,1318,3295,6590

Greatest Common Factor

We found the factors 26,6590 . The biggest common factor number is the GCF number.
So the greatest common factor 26,6590 is 2.


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 704/26, 870/6590

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 704/26, 870/6590?

Answer: LCM of Numerators as per given numbers 704/26, 870/6590 is

LCM of Numerators i.e. for 704,870 is 306240

GCF of denominators i.e. for 26,6590 is 2.

Thus, LCM of Fractions is 153120.Finally, LCM of Fractions for 704/26, 870/6590 is 153120.