Least Common Multiple of 82/469, 709/782, 129/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/469, 709/782, 129/462 quickly i.e. 7499802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/469, 709/782, 129/462 is 7499802.

LCM(82/469, 709/782, 129/462) = 7499802

LCM of 82/469, 709/782, 129/462

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 82/469,709/782,129/462

Given numbers are 82/469,709/782,129/462

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 82,709,129

Least Common Multiple of Numerators i.e. LCM of 82,709,129 is 7499802.

GCF of Denominators means GCF of 469,782,462 as per the given fractions.

GCF of 469,782,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,709,129

LCM of Fractions 82/469,709/782,129/462 is 7499802

Given numbers has no common factors except 1. So, there LCM is their product i.e 7499802

Least Common Multiple of 82,709,129 with GCF Formula

Least Common Multiple of 82,709,129 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 82,709,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,709,129) = 1

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

GCF(82,709,129) x common factors =1 x 1 = 1

LCM(82,709,129) = ( 82 × 709 × 129 ) / 1

LCM(82,709,129) = 7499802 / 1

LCM(82,709,129) = 7499802


Lets's calculate GCF of 469,782,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7499802/1

Therefore the LCM of Fractions 82/469,709/782,129/462 is 7499802

Greatest Common Factor of 469,782,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,782,462 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 469,782,462 . The biggest common factor number is the GCF number.
So the greatest common factor 469,782,462 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 82/469, 709/782, 129/462

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 82/469, 709/782, 129/462?

Answer: LCM of Numerators as per given numbers 82/469, 709/782, 129/462 is

LCM of Numerators i.e. for 82,709,129 is 7499802

GCF of denominators i.e. for 469,782,462 is 1.

Thus, LCM of Fractions is 7499802.Finally, LCM of Fractions for 82/469, 709/782, 129/462 is 7499802.