Least Common Multiple of 459/62, 894/44, 121/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/62, 894/44, 121/780 quickly i.e. 8275311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/62, 894/44, 121/780 is 8275311.

LCM(459/62, 894/44, 121/780) = 8275311

LCM of 459/62, 894/44, 121/780

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 459/62,894/44,121/780

Given numbers are 459/62,894/44,121/780

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 459,894,121

Least Common Multiple of Numerators i.e. LCM of 459,894,121 is 16550622.

GCF of Denominators means GCF of 62,44,780 as per the given fractions.

GCF of 62,44,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,894,121

LCM of Fractions 459/62,894/44,121/780 is 8275311

3 459, 894, 121
153, 298, 121

∴ So the LCM of the given numbers is 3 x 153 x 298 x 121 = 16550622

Least Common Multiple of 459,894,121 with GCF Formula

Least Common Multiple of 459,894,121 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 459,894,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,894,121) = 1

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

GCF(459,894,121) x common factors =1 x 3 = 3

LCM(459,894,121) = ( 459 × 894 × 121 ) / 3

LCM(459,894,121) = 49651866 / 3

LCM(459,894,121) = 16550622


Lets's calculate GCF of 62,44,780

2 62, 44, 780
31, 22, 390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16550622/2

Therefore the LCM of Fractions 459/62,894/44,121/780 is 8275311

Greatest Common Factor of 62,44,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,44,780 By Matching Biggest Common Factor Method

Factors of 62

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

1,2,31,62

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 62,44,780 . The biggest common factor number is the GCF number.
So the greatest common factor 62,44,780 is 2.


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 459/62, 894/44, 121/780

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 459/62, 894/44, 121/780?

Answer: LCM of Numerators as per given numbers 459/62, 894/44, 121/780 is

LCM of Numerators i.e. for 459,894,121 is 16550622

GCF of denominators i.e. for 62,44,780 is 2.

Thus, LCM of Fractions is 8275311.Finally, LCM of Fractions for 459/62, 894/44, 121/780 is 8275311.