Least Common Multiple of 469/747, 777/454, 706/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/747, 777/454, 706/698 quickly i.e. 36753654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/747, 777/454, 706/698 is 36753654.

LCM(469/747, 777/454, 706/698) = 36753654

LCM of 469/747, 777/454, 706/698

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 469/747,777/454,706/698

Given numbers are 469/747,777/454,706/698

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 469,777,706

Least Common Multiple of Numerators i.e. LCM of 469,777,706 is 36753654.

GCF of Denominators means GCF of 747,454,698 as per the given fractions.

GCF of 747,454,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,777,706

LCM of Fractions 469/747,777/454,706/698 is 36753654

7 469, 777, 706
67, 111, 706

∴ So the LCM of the given numbers is 7 x 67 x 111 x 706 = 36753654

Least Common Multiple of 469,777,706 with GCF Formula

Least Common Multiple of 469,777,706 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 469,777,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,777,706) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(469,777,706) x common factors =1 x 7 = 7

LCM(469,777,706) = ( 469 × 777 × 706 ) / 7

LCM(469,777,706) = 257275578 / 7

LCM(469,777,706) = 36753654


Lets's calculate GCF of 747,454,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36753654/1

Therefore the LCM of Fractions 469/747,777/454,706/698 is 36753654

Greatest Common Factor of 747,454,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,454,698 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 747,454,698 . The biggest common factor number is the GCF number.
So the greatest common factor 747,454,698 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 469/747, 777/454, 706/698

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 469/747, 777/454, 706/698?

Answer: LCM of Numerators as per given numbers 469/747, 777/454, 706/698 is

LCM of Numerators i.e. for 469,777,706 is 36753654

GCF of denominators i.e. for 747,454,698 is 1.

Thus, LCM of Fractions is 36753654.Finally, LCM of Fractions for 469/747, 777/454, 706/698 is 36753654.