Least Common Multiple of 69/693, 209/461, 527/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/693, 209/461, 527/126 quickly i.e. 7599867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/693, 209/461, 527/126 is 7599867.

LCM(69/693, 209/461, 527/126) = 7599867

LCM of 69/693, 209/461, 527/126

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 69/693,209/461,527/126

Given numbers are 69/693,209/461,527/126

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 69,209,527

Least Common Multiple of Numerators i.e. LCM of 69,209,527 is 7599867.

GCF of Denominators means GCF of 693,461,126 as per the given fractions.

GCF of 693,461,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,209,527

LCM of Fractions 69/693,209/461,527/126 is 7599867

Given numbers has no common factors except 1. So, there LCM is their product i.e 7599867

Least Common Multiple of 69,209,527 with GCF Formula

Least Common Multiple of 69,209,527 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 69,209,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,209,527) = 1

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

GCF(69,209,527) x common factors =1 x 1 = 1

LCM(69,209,527) = ( 69 × 209 × 527 ) / 1

LCM(69,209,527) = 7599867 / 1

LCM(69,209,527) = 7599867


Lets's calculate GCF of 693,461,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7599867/1

Therefore the LCM of Fractions 69/693,209/461,527/126 is 7599867

Greatest Common Factor of 693,461,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,461,126 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 693,461,126 . The biggest common factor number is the GCF number.
So the greatest common factor 693,461,126 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 69/693, 209/461, 527/126

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 69/693, 209/461, 527/126?

Answer: LCM of Numerators as per given numbers 69/693, 209/461, 527/126 is

LCM of Numerators i.e. for 69,209,527 is 7599867

GCF of denominators i.e. for 693,461,126 is 1.

Thus, LCM of Fractions is 7599867.Finally, LCM of Fractions for 69/693, 209/461, 527/126 is 7599867.