Least Common Multiple of 69/20, 837/62, 739/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/20, 837/62, 739/525 quickly i.e. 14226489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/20, 837/62, 739/525 is 14226489.

LCM(69/20, 837/62, 739/525) = 14226489

LCM of 69/20, 837/62, 739/525

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 69/20,837/62,739/525

Given numbers are 69/20,837/62,739/525

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 69,837,739

Least Common Multiple of Numerators i.e. LCM of 69,837,739 is 14226489.

GCF of Denominators means GCF of 20,62,525 as per the given fractions.

GCF of 20,62,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,837,739

LCM of Fractions 69/20,837/62,739/525 is 14226489

3 69, 837, 739
23, 279, 739

∴ So the LCM of the given numbers is 3 x 23 x 279 x 739 = 14226489

Least Common Multiple of 69,837,739 with GCF Formula

Least Common Multiple of 69,837,739 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 69,837,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,837,739) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,837,739) x common factors =1 x 3 = 3

LCM(69,837,739) = ( 69 × 837 × 739 ) / 3

LCM(69,837,739) = 42679467 / 3

LCM(69,837,739) = 14226489


Lets's calculate GCF of 20,62,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14226489/1

Therefore the LCM of Fractions 69/20,837/62,739/525 is 14226489

Greatest Common Factor of 20,62,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,62,525 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 20,62,525 . The biggest common factor number is the GCF number.
So the greatest common factor 20,62,525 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/20, 837/62, 739/525

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 69/20, 837/62, 739/525?

Answer: LCM of Numerators as per given numbers 69/20, 837/62, 739/525 is

LCM of Numerators i.e. for 69,837,739 is 14226489

GCF of denominators i.e. for 20,62,525 is 1.

Thus, LCM of Fractions is 14226489.Finally, LCM of Fractions for 69/20, 837/62, 739/525 is 14226489.