Least Common Multiple of 819/61, 310/76, 735/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/61, 310/76, 735/821 quickly i.e. 1777230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/61, 310/76, 735/821 is 1777230.

LCM(819/61, 310/76, 735/821) = 1777230

LCM of 819/61, 310/76, 735/821

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 819/61,310/76,735/821

Given numbers are 819/61,310/76,735/821

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 819,310,735

Least Common Multiple of Numerators i.e. LCM of 819,310,735 is 1777230.

GCF of Denominators means GCF of 61,76,821 as per the given fractions.

GCF of 61,76,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,310,735

LCM of Fractions 819/61,310/76,735/821 is 1777230

3 819, 310, 735
5 273, 310, 245
7 273, 62, 49
39, 62, 7

∴ So the LCM of the given numbers is 3 x 5 x 7 x 39 x 62 x 7 = 1777230

Least Common Multiple of 819,310,735 with GCF Formula

Least Common Multiple of 819,310,735 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 819,310,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,310,735) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(819,310,735) x common factors =1 x 105 = 105

LCM(819,310,735) = ( 819 × 310 × 735 ) / 105

LCM(819,310,735) = 186609150 / 105

LCM(819,310,735) = 1777230


Lets's calculate GCF of 61,76,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1777230/1

Therefore the LCM of Fractions 819/61,310/76,735/821 is 1777230

Greatest Common Factor of 61,76,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,76,821 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 61,76,821 . The biggest common factor number is the GCF number.
So the greatest common factor 61,76,821 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 819/61, 310/76, 735/821

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 819/61, 310/76, 735/821?

Answer: LCM of Numerators as per given numbers 819/61, 310/76, 735/821 is

LCM of Numerators i.e. for 819,310,735 is 1777230

GCF of denominators i.e. for 61,76,821 is 1.

Thus, LCM of Fractions is 1777230.Finally, LCM of Fractions for 819/61, 310/76, 735/821 is 1777230.