Least Common Multiple of 73/709, 870/322, 406/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/709, 870/322, 406/926 quickly i.e. 444570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/709, 870/322, 406/926 is 444570.

LCM(73/709, 870/322, 406/926) = 444570

LCM of 73/709, 870/322, 406/926

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 73/709,870/322,406/926

Given numbers are 73/709,870/322,406/926

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 73,870,406

Least Common Multiple of Numerators i.e. LCM of 73,870,406 is 444570.

GCF of Denominators means GCF of 709,322,926 as per the given fractions.

GCF of 709,322,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,870,406

LCM of Fractions 73/709,870/322,406/926 is 444570

2 73, 870, 406
29 73, 435, 203
73, 15, 7

∴ So the LCM of the given numbers is 2 x 29 x 73 x 15 x 7 = 444570

Least Common Multiple of 73,870,406 with GCF Formula

Least Common Multiple of 73,870,406 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 73,870,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,870,406) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(73,870,406) x common factors =1 x 58 = 58

LCM(73,870,406) = ( 73 × 870 × 406 ) / 58

LCM(73,870,406) = 25785060 / 58

LCM(73,870,406) = 444570


Lets's calculate GCF of 709,322,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444570/1

Therefore the LCM of Fractions 73/709,870/322,406/926 is 444570

Greatest Common Factor of 709,322,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,322,926 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 709,322,926 . The biggest common factor number is the GCF number.
So the greatest common factor 709,322,926 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 73/709, 870/322, 406/926

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 73/709, 870/322, 406/926?

Answer: LCM of Numerators as per given numbers 73/709, 870/322, 406/926 is

LCM of Numerators i.e. for 73,870,406 is 444570

GCF of denominators i.e. for 709,322,926 is 1.

Thus, LCM of Fractions is 444570.Finally, LCM of Fractions for 73/709, 870/322, 406/926 is 444570.