Least Common Multiple of 69/523, 314/508, 551/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/523, 314/508, 551/488 quickly i.e. 11937966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/523, 314/508, 551/488 is 11937966.

LCM(69/523, 314/508, 551/488) = 11937966

LCM of 69/523, 314/508, 551/488

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 69/523,314/508,551/488

Given numbers are 69/523,314/508,551/488

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 69,314,551

Least Common Multiple of Numerators i.e. LCM of 69,314,551 is 11937966.

GCF of Denominators means GCF of 523,508,488 as per the given fractions.

GCF of 523,508,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,314,551

LCM of Fractions 69/523,314/508,551/488 is 11937966

Given numbers has no common factors except 1. So, there LCM is their product i.e 11937966

Least Common Multiple of 69,314,551 with GCF Formula

Least Common Multiple of 69,314,551 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 69,314,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,314,551) = 1

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

GCF(69,314,551) x common factors =1 x 1 = 1

LCM(69,314,551) = ( 69 × 314 × 551 ) / 1

LCM(69,314,551) = 11937966 / 1

LCM(69,314,551) = 11937966


Lets's calculate GCF of 523,508,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11937966/1

Therefore the LCM of Fractions 69/523,314/508,551/488 is 11937966

Greatest Common Factor of 523,508,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,508,488 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 523,508,488 . The biggest common factor number is the GCF number.
So the greatest common factor 523,508,488 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 69/523, 314/508, 551/488

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 69/523, 314/508, 551/488?

Answer: LCM of Numerators as per given numbers 69/523, 314/508, 551/488 is

LCM of Numerators i.e. for 69,314,551 is 11937966

GCF of denominators i.e. for 523,508,488 is 1.

Thus, LCM of Fractions is 11937966.Finally, LCM of Fractions for 69/523, 314/508, 551/488 is 11937966.