Least Common Multiple of 828/304, 474/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/304, 474/786 quickly i.e. 32706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/304, 474/786 is 32706.

LCM(828/304, 474/786) = 32706

LCM of 828/304, 474/786

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 828/304,474/786

Given numbers are 828/304,474/786

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 828,474

Least Common Multiple of Numerators i.e. LCM of 828,474 is 65412.

GCF of Denominators means GCF of 304,786 as per the given fractions.

GCF of 304,786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,474

LCM of Fractions 828/304,474/786 is 32706

2 828, 474
3 414, 237
138, 79

∴ So the LCM of the given numbers is 2 x 3 x 138 x 79 = 65412

Least Common Multiple of 828,474 with GCF Formula

Least Common Multiple of 828,474 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 828,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,474) = 6

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

GCF(828,474) x common factors =6 x 1 = 6

LCM(828,474) = ( 828 × 474 ) / 6

LCM(828,474) = 392472 / 6

LCM(828,474) = 65412


Lets's calculate GCF of 304,786

2 304, 786
152, 393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65412/2

Therefore the LCM of Fractions 828/304,474/786 is 32706

Greatest Common Factor of 304,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,786 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 304,786 . The biggest common factor number is the GCF number.
So the greatest common factor 304,786 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 828/304, 474/786

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 828/304, 474/786?

Answer: LCM of Numerators as per given numbers 828/304, 474/786 is

LCM of Numerators i.e. for 828,474 is 65412

GCF of denominators i.e. for 304,786 is 2.

Thus, LCM of Fractions is 32706.Finally, LCM of Fractions for 828/304, 474/786 is 32706.