Least Common Multiple of 69/39, 41/35, 45/67, 82/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/39, 41/35, 45/67, 82/438 quickly i.e. 84870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/39, 41/35, 45/67, 82/438 is 84870.

LCM(69/39, 41/35, 45/67, 82/438) = 84870

LCM of 69/39, 41/35, 45/67, 82/438

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 69/39,41/35,45/67,82/438

Given numbers are 69/39,41/35,45/67,82/438

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 69,41,45,82

Least Common Multiple of Numerators i.e. LCM of 69,41,45,82 is 84870.

GCF of Denominators means GCF of 39,35,67,438 as per the given fractions.

GCF of 39,35,67,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,41,45,82

LCM of Fractions 69/39,41/35,45/67,82/438 is 84870

3 69, 41, 45, 82
41 23, 41, 15, 82
23, 1, 15, 2

∴ So the LCM of the given numbers is 3 x 41 x 23 x 1 x 15 x 2 = 84870

Least Common Multiple of 69,41,45,82 with GCF Formula

Least Common Multiple of 69,41,45,82 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 69,41,45,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,41,45,82) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(69,41,45,82) x common factors =1 x 123 = 123

LCM(69,41,45,82) = ( 69 × 41 × 45 × 82 ) / 123

LCM(69,41,45,82) = 10439010 / 123

LCM(69,41,45,82) = 84870


Lets's calculate GCF of 39,35,67,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84870/1

Therefore the LCM of Fractions 69/39,41/35,45/67,82/438 is 84870

Greatest Common Factor of 39,35,67,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,35,67,438 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 39,35,67,438 . The biggest common factor number is the GCF number.
So the greatest common factor 39,35,67,438 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 69/39, 41/35, 45/67, 82/438

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 69/39, 41/35, 45/67, 82/438?

Answer: LCM of Numerators as per given numbers 69/39, 41/35, 45/67, 82/438 is

LCM of Numerators i.e. for 69,41,45,82 is 84870

GCF of denominators i.e. for 39,35,67,438 is 1.

Thus, LCM of Fractions is 84870.Finally, LCM of Fractions for 69/39, 41/35, 45/67, 82/438 is 84870.