Least Common Multiple of 39/22, 85/42, 63/69, 35/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/22, 85/42, 63/69, 35/733 quickly i.e. 69615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/22, 85/42, 63/69, 35/733 is 69615.

LCM(39/22, 85/42, 63/69, 35/733) = 69615

LCM of 39/22, 85/42, 63/69, 35/733

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 39/22,85/42,63/69,35/733

Given numbers are 39/22,85/42,63/69,35/733

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 39,85,63,35

Least Common Multiple of Numerators i.e. LCM of 39,85,63,35 is 69615.

GCF of Denominators means GCF of 22,42,69,733 as per the given fractions.

GCF of 22,42,69,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,85,63,35

LCM of Fractions 39/22,85/42,63/69,35/733 is 69615

3 39, 85, 63, 35
5 13, 85, 21, 35
7 13, 17, 21, 7
13, 17, 3, 1

∴ So the LCM of the given numbers is 3 x 5 x 7 x 13 x 17 x 3 x 1 = 69615

Least Common Multiple of 39,85,63,35 with GCF Formula

Least Common Multiple of 39,85,63,35 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 39,85,63,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,85,63,35) = 1

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

GCF(39,85,63,35) x common factors =1 x 105 = 105

LCM(39,85,63,35) = ( 39 × 85 × 63 × 35 ) / 105

LCM(39,85,63,35) = 7309575 / 105

LCM(39,85,63,35) = 69615


Lets's calculate GCF of 22,42,69,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69615/1

Therefore the LCM of Fractions 39/22,85/42,63/69,35/733 is 69615

Greatest Common Factor of 22,42,69,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,42,69,733 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 22,42,69,733 . The biggest common factor number is the GCF number.
So the greatest common factor 22,42,69,733 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 39/22, 85/42, 63/69, 35/733

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 39/22, 85/42, 63/69, 35/733?

Answer: LCM of Numerators as per given numbers 39/22, 85/42, 63/69, 35/733 is

LCM of Numerators i.e. for 39,85,63,35 is 69615

GCF of denominators i.e. for 22,42,69,733 is 1.

Thus, LCM of Fractions is 69615.Finally, LCM of Fractions for 39/22, 85/42, 63/69, 35/733 is 69615.