Least Common Multiple of 212/496, 262/769, 435/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/496, 262/769, 435/983 quickly i.e. 12080820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/496, 262/769, 435/983 is 12080820.

LCM(212/496, 262/769, 435/983) = 12080820

LCM of 212/496, 262/769, 435/983

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 212/496,262/769,435/983

Given numbers are 212/496,262/769,435/983

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 212,262,435

Least Common Multiple of Numerators i.e. LCM of 212,262,435 is 12080820.

GCF of Denominators means GCF of 496,769,983 as per the given fractions.

GCF of 496,769,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,262,435

LCM of Fractions 212/496,262/769,435/983 is 12080820

2 212, 262, 435
106, 131, 435

∴ So the LCM of the given numbers is 2 x 106 x 131 x 435 = 12080820

Least Common Multiple of 212,262,435 with GCF Formula

Least Common Multiple of 212,262,435 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 212,262,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,262,435) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(212,262,435) x common factors =1 x 2 = 2

LCM(212,262,435) = ( 212 × 262 × 435 ) / 2

LCM(212,262,435) = 24161640 / 2

LCM(212,262,435) = 12080820


Lets's calculate GCF of 496,769,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12080820/1

Therefore the LCM of Fractions 212/496,262/769,435/983 is 12080820

Greatest Common Factor of 496,769,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,769,983 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 496,769,983 . The biggest common factor number is the GCF number.
So the greatest common factor 496,769,983 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 212/496, 262/769, 435/983

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 212/496, 262/769, 435/983?

Answer: LCM of Numerators as per given numbers 212/496, 262/769, 435/983 is

LCM of Numerators i.e. for 212,262,435 is 12080820

GCF of denominators i.e. for 496,769,983 is 1.

Thus, LCM of Fractions is 12080820.Finally, LCM of Fractions for 212/496, 262/769, 435/983 is 12080820.