Least Common Multiple of 82/21, 59/126, 735/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/21, 59/126, 735/619 quickly i.e. 3555930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/21, 59/126, 735/619 is 3555930.

LCM(82/21, 59/126, 735/619) = 3555930

LCM of 82/21, 59/126, 735/619

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 82/21,59/126,735/619

Given numbers are 82/21,59/126,735/619

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 82,59,735

Least Common Multiple of Numerators i.e. LCM of 82,59,735 is 3555930.

GCF of Denominators means GCF of 21,126,619 as per the given fractions.

GCF of 21,126,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,59,735

LCM of Fractions 82/21,59/126,735/619 is 3555930

Given numbers has no common factors except 1. So, there LCM is their product i.e 3555930

Least Common Multiple of 82,59,735 with GCF Formula

Least Common Multiple of 82,59,735 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 82,59,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,59,735) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,59,735) x common factors =1 x 1 = 1

LCM(82,59,735) = ( 82 × 59 × 735 ) / 1

LCM(82,59,735) = 3555930 / 1

LCM(82,59,735) = 3555930


Lets's calculate GCF of 21,126,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3555930/1

Therefore the LCM of Fractions 82/21,59/126,735/619 is 3555930

Greatest Common Factor of 21,126,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,126,619 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 21,126,619 . The biggest common factor number is the GCF number.
So the greatest common factor 21,126,619 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 82/21, 59/126, 735/619

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 82/21, 59/126, 735/619?

Answer: LCM of Numerators as per given numbers 82/21, 59/126, 735/619 is

LCM of Numerators i.e. for 82,59,735 is 3555930

GCF of denominators i.e. for 21,126,619 is 1.

Thus, LCM of Fractions is 3555930.Finally, LCM of Fractions for 82/21, 59/126, 735/619 is 3555930.