Least Common Multiple of 72/62, 819/70, 766/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/62, 819/70, 766/392 quickly i.e. 1254708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/62, 819/70, 766/392 is 1254708.

LCM(72/62, 819/70, 766/392) = 1254708

LCM of 72/62, 819/70, 766/392

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 72/62,819/70,766/392

Given numbers are 72/62,819/70,766/392

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 72,819,766

Least Common Multiple of Numerators i.e. LCM of 72,819,766 is 2509416.

GCF of Denominators means GCF of 62,70,392 as per the given fractions.

GCF of 62,70,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,819,766

LCM of Fractions 72/62,819/70,766/392 is 1254708

2 72, 819, 766
3 36, 819, 383
3 12, 273, 383
4, 91, 383

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 91 x 383 = 2509416

Least Common Multiple of 72,819,766 with GCF Formula

Least Common Multiple of 72,819,766 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 72,819,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,819,766) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(72,819,766) x common factors =1 x 18 = 18

LCM(72,819,766) = ( 72 × 819 × 766 ) / 18

LCM(72,819,766) = 45169488 / 18

LCM(72,819,766) = 2509416


Lets's calculate GCF of 62,70,392

2 62, 70, 392
31, 35, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2509416/2

Therefore the LCM of Fractions 72/62,819/70,766/392 is 1254708

Greatest Common Factor of 62,70,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,70,392 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 62,70,392 . The biggest common factor number is the GCF number.
So the greatest common factor 62,70,392 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 72/62, 819/70, 766/392

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 72/62, 819/70, 766/392?

Answer: LCM of Numerators as per given numbers 72/62, 819/70, 766/392 is

LCM of Numerators i.e. for 72,819,766 is 2509416

GCF of denominators i.e. for 62,70,392 is 2.

Thus, LCM of Fractions is 1254708.Finally, LCM of Fractions for 72/62, 819/70, 766/392 is 1254708.