Least Common Multiple of 72/421, 280/706, 842/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/421, 280/706, 842/164 quickly i.e. 1060920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/421, 280/706, 842/164 is 1060920.

LCM(72/421, 280/706, 842/164) = 1060920

LCM of 72/421, 280/706, 842/164

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 72/421,280/706,842/164

Given numbers are 72/421,280/706,842/164

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 72,280,842

Least Common Multiple of Numerators i.e. LCM of 72,280,842 is 1060920.

GCF of Denominators means GCF of 421,706,164 as per the given fractions.

GCF of 421,706,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,280,842

LCM of Fractions 72/421,280/706,842/164 is 1060920

2 72, 280, 842
2 36, 140, 421
2 18, 70, 421
9, 35, 421

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 35 x 421 = 1060920

Least Common Multiple of 72,280,842 with GCF Formula

Least Common Multiple of 72,280,842 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 72,280,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,280,842) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(72,280,842) x common factors =2 x 8 = 16

LCM(72,280,842) = ( 72 × 280 × 842 ) / 16

LCM(72,280,842) = 16974720 / 16

LCM(72,280,842) = 1060920


Lets's calculate GCF of 421,706,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1060920/1

Therefore the LCM of Fractions 72/421,280/706,842/164 is 1060920

Greatest Common Factor of 421,706,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,706,164 By Matching Biggest Common Factor Method

Factors of 421

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

1,421

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 421,706,164 . The biggest common factor number is the GCF number.
So the greatest common factor 421,706,164 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 72/421, 280/706, 842/164

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 72/421, 280/706, 842/164?

Answer: LCM of Numerators as per given numbers 72/421, 280/706, 842/164 is

LCM of Numerators i.e. for 72,280,842 is 1060920

GCF of denominators i.e. for 421,706,164 is 1.

Thus, LCM of Fractions is 1060920.Finally, LCM of Fractions for 72/421, 280/706, 842/164 is 1060920.