Least Common Multiple of 61/695, 83/592, 381/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/695, 83/592, 381/105 quickly i.e. 1929003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/695, 83/592, 381/105 is 1929003.

LCM(61/695, 83/592, 381/105) = 1929003

LCM of 61/695, 83/592, 381/105

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 61/695,83/592,381/105

Given numbers are 61/695,83/592,381/105

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 61,83,381

Least Common Multiple of Numerators i.e. LCM of 61,83,381 is 1929003.

GCF of Denominators means GCF of 695,592,105 as per the given fractions.

GCF of 695,592,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,83,381

LCM of Fractions 61/695,83/592,381/105 is 1929003

Given numbers has no common factors except 1. So, there LCM is their product i.e 1929003

Least Common Multiple of 61,83,381 with GCF Formula

Least Common Multiple of 61,83,381 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 61,83,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,83,381) = 1

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

GCF(61,83,381) x common factors =1 x 1 = 1

LCM(61,83,381) = ( 61 × 83 × 381 ) / 1

LCM(61,83,381) = 1929003 / 1

LCM(61,83,381) = 1929003


Lets's calculate GCF of 695,592,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929003/1

Therefore the LCM of Fractions 61/695,83/592,381/105 is 1929003

Greatest Common Factor of 695,592,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,592,105 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 695,592,105 . The biggest common factor number is the GCF number.
So the greatest common factor 695,592,105 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 61/695, 83/592, 381/105

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 61/695, 83/592, 381/105?

Answer: LCM of Numerators as per given numbers 61/695, 83/592, 381/105 is

LCM of Numerators i.e. for 61,83,381 is 1929003

GCF of denominators i.e. for 695,592,105 is 1.

Thus, LCM of Fractions is 1929003.Finally, LCM of Fractions for 61/695, 83/592, 381/105 is 1929003.