Least Common Multiple of 828/896, 730/410, 450/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/896, 730/410, 450/742 quickly i.e. 755550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/896, 730/410, 450/742 is 755550.

LCM(828/896, 730/410, 450/742) = 755550

LCM of 828/896, 730/410, 450/742

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 828/896,730/410,450/742

Given numbers are 828/896,730/410,450/742

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 828,730,450

Least Common Multiple of Numerators i.e. LCM of 828,730,450 is 1511100.

GCF of Denominators means GCF of 896,410,742 as per the given fractions.

GCF of 896,410,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,730,450

LCM of Fractions 828/896,730/410,450/742 is 755550

2 828, 730, 450
3 414, 365, 225
3 138, 365, 75
5 46, 365, 25
46, 73, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 46 x 73 x 5 = 1511100

Least Common Multiple of 828,730,450 with GCF Formula

Least Common Multiple of 828,730,450 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 828,730,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,730,450) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(828,730,450) x common factors =2 x 90 = 180

LCM(828,730,450) = ( 828 × 730 × 450 ) / 180

LCM(828,730,450) = 271998000 / 180

LCM(828,730,450) = 1511100


Lets's calculate GCF of 896,410,742

2 896, 410, 742
448, 205, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1511100/2

Therefore the LCM of Fractions 828/896,730/410,450/742 is 755550

Greatest Common Factor of 896,410,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,410,742 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 896,410,742 . The biggest common factor number is the GCF number.
So the greatest common factor 896,410,742 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 828/896, 730/410, 450/742

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 828/896, 730/410, 450/742?

Answer: LCM of Numerators as per given numbers 828/896, 730/410, 450/742 is

LCM of Numerators i.e. for 828,730,450 is 1511100

GCF of denominators i.e. for 896,410,742 is 2.

Thus, LCM of Fractions is 755550.Finally, LCM of Fractions for 828/896, 730/410, 450/742 is 755550.