Least Common Multiple of 84/764, 470/741, 559/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/764, 470/741, 559/421 quickly i.e. 11034660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/764, 470/741, 559/421 is 11034660.

LCM(84/764, 470/741, 559/421) = 11034660

LCM of 84/764, 470/741, 559/421

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 84/764,470/741,559/421

Given numbers are 84/764,470/741,559/421

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 84,470,559

Least Common Multiple of Numerators i.e. LCM of 84,470,559 is 11034660.

GCF of Denominators means GCF of 764,741,421 as per the given fractions.

GCF of 764,741,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,470,559

LCM of Fractions 84/764,470/741,559/421 is 11034660

2 84, 470, 559
42, 235, 559

∴ So the LCM of the given numbers is 2 x 42 x 235 x 559 = 11034660

Least Common Multiple of 84,470,559 with GCF Formula

Least Common Multiple of 84,470,559 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 84,470,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,470,559) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,470,559) x common factors =1 x 2 = 2

LCM(84,470,559) = ( 84 × 470 × 559 ) / 2

LCM(84,470,559) = 22069320 / 2

LCM(84,470,559) = 11034660


Lets's calculate GCF of 764,741,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11034660/1

Therefore the LCM of Fractions 84/764,470/741,559/421 is 11034660

Greatest Common Factor of 764,741,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,741,421 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 764,741,421 . The biggest common factor number is the GCF number.
So the greatest common factor 764,741,421 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/764, 470/741, 559/421

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 84/764, 470/741, 559/421?

Answer: LCM of Numerators as per given numbers 84/764, 470/741, 559/421 is

LCM of Numerators i.e. for 84,470,559 is 11034660

GCF of denominators i.e. for 764,741,421 is 1.

Thus, LCM of Fractions is 11034660.Finally, LCM of Fractions for 84/764, 470/741, 559/421 is 11034660.