Least Common Multiple of 36/67, 22/22, 62/24, 70/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/67, 22/22, 62/24, 70/879 quickly i.e. 429660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/67, 22/22, 62/24, 70/879 is 429660.

LCM(36/67, 22/22, 62/24, 70/879) = 429660

LCM of 36/67, 22/22, 62/24, 70/879

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 36/67,22/22,62/24,70/879

Given numbers are 36/67,22/22,62/24,70/879

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 36,22,62,70

Least Common Multiple of Numerators i.e. LCM of 36,22,62,70 is 429660.

GCF of Denominators means GCF of 67,22,24,879 as per the given fractions.

GCF of 67,22,24,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,22,62,70

LCM of Fractions 36/67,22/22,62/24,70/879 is 429660

2 36, 22, 62, 70
18, 11, 31, 35

∴ So the LCM of the given numbers is 2 x 18 x 11 x 31 x 35 = 429660

Least Common Multiple of 36,22,62,70 with GCF Formula

Least Common Multiple of 36,22,62,70 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 36,22,62,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,22,62,70) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,22,62,70) x common factors =2 x 4 = 8

LCM(36,22,62,70) = ( 36 × 22 × 62 × 70 ) / 8

LCM(36,22,62,70) = 3437280 / 8

LCM(36,22,62,70) = 429660


Lets's calculate GCF of 67,22,24,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429660/1

Therefore the LCM of Fractions 36/67,22/22,62/24,70/879 is 429660

Greatest Common Factor of 67,22,24,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,22,24,879 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 22

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

1,2,11,22

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 67,22,24,879 . The biggest common factor number is the GCF number.
So the greatest common factor 67,22,24,879 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/67, 22/22, 62/24, 70/879

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 36/67, 22/22, 62/24, 70/879?

Answer: LCM of Numerators as per given numbers 36/67, 22/22, 62/24, 70/879 is

LCM of Numerators i.e. for 36,22,62,70 is 429660

GCF of denominators i.e. for 67,22,24,879 is 1.

Thus, LCM of Fractions is 429660.Finally, LCM of Fractions for 36/67, 22/22, 62/24, 70/879 is 429660.