Least Common Multiple of 213/46, 140/99, 694/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/46, 140/99, 694/773 quickly i.e. 10347540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/46, 140/99, 694/773 is 10347540.

LCM(213/46, 140/99, 694/773) = 10347540

LCM of 213/46, 140/99, 694/773

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 213/46,140/99,694/773

Given numbers are 213/46,140/99,694/773

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 213,140,694

Least Common Multiple of Numerators i.e. LCM of 213,140,694 is 10347540.

GCF of Denominators means GCF of 46,99,773 as per the given fractions.

GCF of 46,99,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,140,694

LCM of Fractions 213/46,140/99,694/773 is 10347540

2 213, 140, 694
213, 70, 347

∴ So the LCM of the given numbers is 2 x 213 x 70 x 347 = 10347540

Least Common Multiple of 213,140,694 with GCF Formula

Least Common Multiple of 213,140,694 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 213,140,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,140,694) = 1

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

GCF(213,140,694) x common factors =1 x 2 = 2

LCM(213,140,694) = ( 213 × 140 × 694 ) / 2

LCM(213,140,694) = 20695080 / 2

LCM(213,140,694) = 10347540


Lets's calculate GCF of 46,99,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10347540/1

Therefore the LCM of Fractions 213/46,140/99,694/773 is 10347540

Greatest Common Factor of 46,99,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,99,773 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 46,99,773 . The biggest common factor number is the GCF number.
So the greatest common factor 46,99,773 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 213/46, 140/99, 694/773

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 213/46, 140/99, 694/773?

Answer: LCM of Numerators as per given numbers 213/46, 140/99, 694/773 is

LCM of Numerators i.e. for 213,140,694 is 10347540

GCF of denominators i.e. for 46,99,773 is 1.

Thus, LCM of Fractions is 10347540.Finally, LCM of Fractions for 213/46, 140/99, 694/773 is 10347540.