Least Common Multiple of 61/845, 761/415, 105/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/845, 761/415, 105/820 quickly i.e. 974841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/845, 761/415, 105/820 is 974841.

LCM(61/845, 761/415, 105/820) = 974841

LCM of 61/845, 761/415, 105/820

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 61/845,761/415,105/820

Given numbers are 61/845,761/415,105/820

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 61,761,105

Least Common Multiple of Numerators i.e. LCM of 61,761,105 is 4874205.

GCF of Denominators means GCF of 845,415,820 as per the given fractions.

GCF of 845,415,820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,761,105

LCM of Fractions 61/845,761/415,105/820 is 974841

Given numbers has no common factors except 1. So, there LCM is their product i.e 4874205

Least Common Multiple of 61,761,105 with GCF Formula

Least Common Multiple of 61,761,105 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 61,761,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,761,105) = 1

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

GCF(61,761,105) x common factors =1 x 1 = 1

LCM(61,761,105) = ( 61 × 761 × 105 ) / 1

LCM(61,761,105) = 4874205 / 1

LCM(61,761,105) = 4874205


Lets's calculate GCF of 845,415,820

5 845, 415, 820
169, 83, 164

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4874205/5

Therefore the LCM of Fractions 61/845,761/415,105/820 is 974841

Greatest Common Factor of 845,415,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,415,820 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 845,415,820 . The biggest common factor number is the GCF number.
So the greatest common factor 845,415,820 is 5.


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 61/845, 761/415, 105/820

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 61/845, 761/415, 105/820?

Answer: LCM of Numerators as per given numbers 61/845, 761/415, 105/820 is

LCM of Numerators i.e. for 61,761,105 is 4874205

GCF of denominators i.e. for 845,415,820 is 5.

Thus, LCM of Fractions is 974841.Finally, LCM of Fractions for 61/845, 761/415, 105/820 is 974841.