Least Common Multiple of 78/44, 828/28, 800/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/44, 828/28, 800/316 quickly i.e. 538200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/44, 828/28, 800/316 is 538200.

LCM(78/44, 828/28, 800/316) = 538200

LCM of 78/44, 828/28, 800/316

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 78/44,828/28,800/316

Given numbers are 78/44,828/28,800/316

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 78,828,800

Least Common Multiple of Numerators i.e. LCM of 78,828,800 is 2152800.

GCF of Denominators means GCF of 44,28,316 as per the given fractions.

GCF of 44,28,316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,828,800

LCM of Fractions 78/44,828/28,800/316 is 538200

2 78, 828, 800
2 39, 414, 400
3 39, 207, 200
13, 69, 200

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 69 x 200 = 2152800

Least Common Multiple of 78,828,800 with GCF Formula

Least Common Multiple of 78,828,800 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 78,828,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,828,800) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(78,828,800) x common factors =2 x 12 = 24

LCM(78,828,800) = ( 78 × 828 × 800 ) / 24

LCM(78,828,800) = 51667200 / 24

LCM(78,828,800) = 2152800


Lets's calculate GCF of 44,28,316

2 44, 28, 316
2 22, 14, 158
11, 7, 79

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2152800/4

Therefore the LCM of Fractions 78/44,828/28,800/316 is 538200

Greatest Common Factor of 44,28,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,28,316 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 44,28,316 . The biggest common factor number is the GCF number.
So the greatest common factor 44,28,316 is 4.


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 78/44, 828/28, 800/316

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 78/44, 828/28, 800/316?

Answer: LCM of Numerators as per given numbers 78/44, 828/28, 800/316 is

LCM of Numerators i.e. for 78,828,800 is 2152800

GCF of denominators i.e. for 44,28,316 is 4.

Thus, LCM of Fractions is 538200.Finally, LCM of Fractions for 78/44, 828/28, 800/316 is 538200.