Least Common Multiple of 6/153, 7/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/153, 7/822 quickly i.e. 14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/153, 7/822 is 14.

LCM(6/153, 7/822) = 14

LCM of 6/153, 7/822

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 6/153,7/822

Given numbers are 6/153,7/822

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 6,7

Least Common Multiple of Numerators i.e. LCM of 6,7 is 42.

GCF of Denominators means GCF of 153,822 as per the given fractions.

GCF of 153,822 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7

LCM of Fractions 6/153,7/822 is 14

Given numbers has no common factors except 1. So, there LCM is their product i.e 42

Least Common Multiple of 6,7 with GCF Formula

Least Common Multiple of 6,7 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 6,7 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6,7) x common factors =1 x 1 = 1

LCM(6,7) = ( 6 × 7 ) / 1

LCM(6,7) = 42 / 1

LCM(6,7) = 42


Lets's calculate GCF of 153,822

3 153, 822
51, 274

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42/3

Therefore the LCM of Fractions 6/153,7/822 is 14

Greatest Common Factor of 153,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,822 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 153,822 . The biggest common factor number is the GCF number.
So the greatest common factor 153,822 is 3.


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 6/153, 7/822

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 6/153, 7/822?

Answer: LCM of Numerators as per given numbers 6/153, 7/822 is

LCM of Numerators i.e. for 6,7 is 42

GCF of denominators i.e. for 153,822 is 3.

Thus, LCM of Fractions is 14.Finally, LCM of Fractions for 6/153, 7/822 is 14.