Least Common Multiple of 755/702, 724/682, 459/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 755/702, 724/682, 459/638 quickly i.e. 125449290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/702, 724/682, 459/638 is 125449290.

LCM(755/702, 724/682, 459/638) = 125449290

LCM of 755/702, 724/682, 459/638

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 755/702,724/682,459/638

Given numbers are 755/702,724/682,459/638

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 755,724,459

Least Common Multiple of Numerators i.e. LCM of 755,724,459 is 250898580.

GCF of Denominators means GCF of 702,682,638 as per the given fractions.

GCF of 702,682,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,724,459

LCM of Fractions 755/702,724/682,459/638 is 125449290

Given numbers has no common factors except 1. So, there LCM is their product i.e 250898580

Least Common Multiple of 755,724,459 with GCF Formula

Least Common Multiple of 755,724,459 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 755,724,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,724,459) = 1

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

GCF(755,724,459) x common factors =1 x 1 = 1

LCM(755,724,459) = ( 755 × 724 × 459 ) / 1

LCM(755,724,459) = 250898580 / 1

LCM(755,724,459) = 250898580


Lets's calculate GCF of 702,682,638

2 702, 682, 638
351, 341, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250898580/2

Therefore the LCM of Fractions 755/702,724/682,459/638 is 125449290

Greatest Common Factor of 702,682,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,682,638 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

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 702,682,638 . The biggest common factor number is the GCF number.
So the greatest common factor 702,682,638 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 755/702, 724/682, 459/638

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 755/702, 724/682, 459/638?

Answer: LCM of Numerators as per given numbers 755/702, 724/682, 459/638 is

LCM of Numerators i.e. for 755,724,459 is 250898580

GCF of denominators i.e. for 702,682,638 is 2.

Thus, LCM of Fractions is 125449290.Finally, LCM of Fractions for 755/702, 724/682, 459/638 is 125449290.