Least Common Multiple of 304/55, 7836/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/55, 7836/778 quickly i.e. 595536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/55, 7836/778 is 595536.

LCM(304/55, 7836/778) = 595536

LCM of 304/55, 7836/778

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 304/55,7836/778

Given numbers are 304/55,7836/778

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 304,7836

Least Common Multiple of Numerators i.e. LCM of 304,7836 is 595536.

GCF of Denominators means GCF of 55,778 as per the given fractions.

GCF of 55,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,7836

LCM of Fractions 304/55,7836/778 is 595536

2 304, 7836
2 152, 3918
76, 1959

∴ So the LCM of the given numbers is 2 x 2 x 76 x 1959 = 595536

Least Common Multiple of 304,7836 with GCF Formula

Least Common Multiple of 304,7836 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 304,7836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,7836) = 4

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

GCF(304,7836) x common factors =4 x 1 = 4

LCM(304,7836) = ( 304 × 7836 ) / 4

LCM(304,7836) = 2382144 / 4

LCM(304,7836) = 595536


Lets's calculate GCF of 55,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595536/1

Therefore the LCM of Fractions 304/55,7836/778 is 595536

Greatest Common Factor of 55,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,778 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 55,778 . The biggest common factor number is the GCF number.
So the greatest common factor 55,778 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 304/55, 7836/778

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 304/55, 7836/778?

Answer: LCM of Numerators as per given numbers 304/55, 7836/778 is

LCM of Numerators i.e. for 304,7836 is 595536

GCF of denominators i.e. for 55,778 is 1.

Thus, LCM of Fractions is 595536.Finally, LCM of Fractions for 304/55, 7836/778 is 595536.