Least Common Multiple of 78/827, 902/343, 353/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/827, 902/343, 353/972 quickly i.e. 12417834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/827, 902/343, 353/972 is 12417834.

LCM(78/827, 902/343, 353/972) = 12417834

LCM of 78/827, 902/343, 353/972

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 78/827,902/343,353/972

Given numbers are 78/827,902/343,353/972

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 78,902,353

Least Common Multiple of Numerators i.e. LCM of 78,902,353 is 12417834.

GCF of Denominators means GCF of 827,343,972 as per the given fractions.

GCF of 827,343,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,902,353

LCM of Fractions 78/827,902/343,353/972 is 12417834

2 78, 902, 353
39, 451, 353

∴ So the LCM of the given numbers is 2 x 39 x 451 x 353 = 12417834

Least Common Multiple of 78,902,353 with GCF Formula

Least Common Multiple of 78,902,353 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 78,902,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,902,353) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,902,353) x common factors =1 x 2 = 2

LCM(78,902,353) = ( 78 × 902 × 353 ) / 2

LCM(78,902,353) = 24835668 / 2

LCM(78,902,353) = 12417834


Lets's calculate GCF of 827,343,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12417834/1

Therefore the LCM of Fractions 78/827,902/343,353/972 is 12417834

Greatest Common Factor of 827,343,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,343,972 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 827,343,972 . The biggest common factor number is the GCF number.
So the greatest common factor 827,343,972 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 78/827, 902/343, 353/972

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 78/827, 902/343, 353/972?

Answer: LCM of Numerators as per given numbers 78/827, 902/343, 353/972 is

LCM of Numerators i.e. for 78,902,353 is 12417834

GCF of denominators i.e. for 827,343,972 is 1.

Thus, LCM of Fractions is 12417834.Finally, LCM of Fractions for 78/827, 902/343, 353/972 is 12417834.