Least Common Multiple of 3/22, 9/84, 2/14, 77/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/22, 9/84, 2/14, 77/854 quickly i.e. 693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/22, 9/84, 2/14, 77/854 is 693.

LCM(3/22, 9/84, 2/14, 77/854) = 693

LCM of 3/22, 9/84, 2/14, 77/854

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 3/22,9/84,2/14,77/854

Given numbers are 3/22,9/84,2/14,77/854

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 3,9,2,77

Least Common Multiple of Numerators i.e. LCM of 3,9,2,77 is 1386.

GCF of Denominators means GCF of 22,84,14,854 as per the given fractions.

GCF of 22,84,14,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,2,77

LCM of Fractions 3/22,9/84,2/14,77/854 is 693

3 3, 9, 2, 77
1, 3, 2, 77

∴ So the LCM of the given numbers is 3 x 1 x 3 x 2 x 77 = 1386

Least Common Multiple of 3,9,2,77 with GCF Formula

Least Common Multiple of 3,9,2,77 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 3,9,2,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,2,77) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,9,2,77) x common factors =1 x 3 = 3

LCM(3,9,2,77) = ( 3 × 9 × 2 × 77 ) / 3

LCM(3,9,2,77) = 4158 / 3

LCM(3,9,2,77) = 1386


Lets's calculate GCF of 22,84,14,854

2 22, 84, 14, 854
11, 42, 7, 427

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1386/2

Therefore the LCM of Fractions 3/22,9/84,2/14,77/854 is 693

Greatest Common Factor of 22,84,14,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,84,14,854 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 22,84,14,854 . The biggest common factor number is the GCF number.
So the greatest common factor 22,84,14,854 is 2.


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 3/22, 9/84, 2/14, 77/854

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 3/22, 9/84, 2/14, 77/854?

Answer: LCM of Numerators as per given numbers 3/22, 9/84, 2/14, 77/854 is

LCM of Numerators i.e. for 3,9,2,77 is 1386

GCF of denominators i.e. for 22,84,14,854 is 2.

Thus, LCM of Fractions is 693.Finally, LCM of Fractions for 3/22, 9/84, 2/14, 77/854 is 693.