Least Common Multiple of 32/78, 45/31, 822/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/78, 45/31, 822/306 quickly i.e. 197280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/78, 45/31, 822/306 is 197280.

LCM(32/78, 45/31, 822/306) = 197280

LCM of 32/78, 45/31, 822/306

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 32/78,45/31,822/306

Given numbers are 32/78,45/31,822/306

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 32,45,822

Least Common Multiple of Numerators i.e. LCM of 32,45,822 is 197280.

GCF of Denominators means GCF of 78,31,306 as per the given fractions.

GCF of 78,31,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,45,822

LCM of Fractions 32/78,45/31,822/306 is 197280

2 32, 45, 822
3 16, 45, 411
16, 15, 137

∴ So the LCM of the given numbers is 2 x 3 x 16 x 15 x 137 = 197280

Least Common Multiple of 32,45,822 with GCF Formula

Least Common Multiple of 32,45,822 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 32,45,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,45,822) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(32,45,822) x common factors =1 x 6 = 6

LCM(32,45,822) = ( 32 × 45 × 822 ) / 6

LCM(32,45,822) = 1183680 / 6

LCM(32,45,822) = 197280


Lets's calculate GCF of 78,31,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197280/1

Therefore the LCM of Fractions 32/78,45/31,822/306 is 197280

Greatest Common Factor of 78,31,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,31,306 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 78,31,306 . The biggest common factor number is the GCF number.
So the greatest common factor 78,31,306 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 32/78, 45/31, 822/306

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 32/78, 45/31, 822/306?

Answer: LCM of Numerators as per given numbers 32/78, 45/31, 822/306 is

LCM of Numerators i.e. for 32,45,822 is 197280

GCF of denominators i.e. for 78,31,306 is 1.

Thus, LCM of Fractions is 197280.Finally, LCM of Fractions for 32/78, 45/31, 822/306 is 197280.