Least Common Multiple of 90/392, 39/670, 803/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/392, 39/670, 803/762 quickly i.e. 469755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/392, 39/670, 803/762 is 469755.

LCM(90/392, 39/670, 803/762) = 469755

LCM of 90/392, 39/670, 803/762

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 90/392,39/670,803/762

Given numbers are 90/392,39/670,803/762

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 90,39,803

Least Common Multiple of Numerators i.e. LCM of 90,39,803 is 939510.

GCF of Denominators means GCF of 392,670,762 as per the given fractions.

GCF of 392,670,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,39,803

LCM of Fractions 90/392,39/670,803/762 is 469755

3 90, 39, 803
30, 13, 803

∴ So the LCM of the given numbers is 3 x 30 x 13 x 803 = 939510

Least Common Multiple of 90,39,803 with GCF Formula

Least Common Multiple of 90,39,803 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 90,39,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,39,803) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(90,39,803) x common factors =1 x 3 = 3

LCM(90,39,803) = ( 90 × 39 × 803 ) / 3

LCM(90,39,803) = 2818530 / 3

LCM(90,39,803) = 939510


Lets's calculate GCF of 392,670,762

2 392, 670, 762
196, 335, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 939510/2

Therefore the LCM of Fractions 90/392,39/670,803/762 is 469755

Greatest Common Factor of 392,670,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,670,762 By Matching Biggest Common Factor Method

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

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 392,670,762 . The biggest common factor number is the GCF number.
So the greatest common factor 392,670,762 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 90/392, 39/670, 803/762

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 90/392, 39/670, 803/762?

Answer: LCM of Numerators as per given numbers 90/392, 39/670, 803/762 is

LCM of Numerators i.e. for 90,39,803 is 939510

GCF of denominators i.e. for 392,670,762 is 2.

Thus, LCM of Fractions is 469755.Finally, LCM of Fractions for 90/392, 39/670, 803/762 is 469755.