Least Common Multiple of 10/41, 705/21, 735/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/41, 705/21, 735/885 quickly i.e. 69090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/41, 705/21, 735/885 is 69090.

LCM(10/41, 705/21, 735/885) = 69090

LCM of 10/41, 705/21, 735/885

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 10/41,705/21,735/885

Given numbers are 10/41,705/21,735/885

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 10,705,735

Least Common Multiple of Numerators i.e. LCM of 10,705,735 is 69090.

GCF of Denominators means GCF of 41,21,885 as per the given fractions.

GCF of 41,21,885 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,705,735

LCM of Fractions 10/41,705/21,735/885 is 69090

3 10, 705, 735
5 10, 235, 245
2, 47, 49

∴ So the LCM of the given numbers is 3 x 5 x 2 x 47 x 49 = 69090

Least Common Multiple of 10,705,735 with GCF Formula

Least Common Multiple of 10,705,735 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 10,705,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,705,735) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(10,705,735) x common factors =5 x 15 = 75

LCM(10,705,735) = ( 10 × 705 × 735 ) / 75

LCM(10,705,735) = 5181750 / 75

LCM(10,705,735) = 69090


Lets's calculate GCF of 41,21,885

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69090/1

Therefore the LCM of Fractions 10/41,705/21,735/885 is 69090

Greatest Common Factor of 41,21,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,21,885 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 21

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

1,3,7,21

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 41,21,885 . The biggest common factor number is the GCF number.
So the greatest common factor 41,21,885 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 10/41, 705/21, 735/885

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 10/41, 705/21, 735/885?

Answer: LCM of Numerators as per given numbers 10/41, 705/21, 735/885 is

LCM of Numerators i.e. for 10,705,735 is 69090

GCF of denominators i.e. for 41,21,885 is 1.

Thus, LCM of Fractions is 69090.Finally, LCM of Fractions for 10/41, 705/21, 735/885 is 69090.