Least Common Multiple of 26/714, 745/487, 718/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/714, 745/487, 718/638 quickly i.e. 6953830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/714, 745/487, 718/638 is 6953830.

LCM(26/714, 745/487, 718/638) = 6953830

LCM of 26/714, 745/487, 718/638

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 26/714,745/487,718/638

Given numbers are 26/714,745/487,718/638

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 26,745,718

Least Common Multiple of Numerators i.e. LCM of 26,745,718 is 6953830.

GCF of Denominators means GCF of 714,487,638 as per the given fractions.

GCF of 714,487,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,745,718

LCM of Fractions 26/714,745/487,718/638 is 6953830

2 26, 745, 718
13, 745, 359

∴ So the LCM of the given numbers is 2 x 13 x 745 x 359 = 6953830

Least Common Multiple of 26,745,718 with GCF Formula

Least Common Multiple of 26,745,718 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 26,745,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,745,718) = 1

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

GCF(26,745,718) x common factors =1 x 2 = 2

LCM(26,745,718) = ( 26 × 745 × 718 ) / 2

LCM(26,745,718) = 13907660 / 2

LCM(26,745,718) = 6953830


Lets's calculate GCF of 714,487,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6953830/1

Therefore the LCM of Fractions 26/714,745/487,718/638 is 6953830

Greatest Common Factor of 714,487,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,487,638 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 714,487,638 . The biggest common factor number is the GCF number.
So the greatest common factor 714,487,638 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 26/714, 745/487, 718/638

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 26/714, 745/487, 718/638?

Answer: LCM of Numerators as per given numbers 26/714, 745/487, 718/638 is

LCM of Numerators i.e. for 26,745,718 is 6953830

GCF of denominators i.e. for 714,487,638 is 1.

Thus, LCM of Fractions is 6953830.Finally, LCM of Fractions for 26/714, 745/487, 718/638 is 6953830.