Least Common Multiple of 98/825, 48/745, 456/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/825, 48/745, 456/411 quickly i.e. 44688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/825, 48/745, 456/411 is 44688.

LCM(98/825, 48/745, 456/411) = 44688

LCM of 98/825, 48/745, 456/411

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 98/825,48/745,456/411

Given numbers are 98/825,48/745,456/411

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 98,48,456

Least Common Multiple of Numerators i.e. LCM of 98,48,456 is 44688.

GCF of Denominators means GCF of 825,745,411 as per the given fractions.

GCF of 825,745,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,48,456

LCM of Fractions 98/825,48/745,456/411 is 44688

2 98, 48, 456
2 49, 24, 228
2 49, 12, 114
3 49, 6, 57
49, 2, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 49 x 2 x 19 = 44688

Least Common Multiple of 98,48,456 with GCF Formula

Least Common Multiple of 98,48,456 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 98,48,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,48,456) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(98,48,456) x common factors =2 x 24 = 48

LCM(98,48,456) = ( 98 × 48 × 456 ) / 48

LCM(98,48,456) = 2145024 / 48

LCM(98,48,456) = 44688


Lets's calculate GCF of 825,745,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44688/1

Therefore the LCM of Fractions 98/825,48/745,456/411 is 44688

Greatest Common Factor of 825,745,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,745,411 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 825,745,411 . The biggest common factor number is the GCF number.
So the greatest common factor 825,745,411 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 98/825, 48/745, 456/411

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 98/825, 48/745, 456/411?

Answer: LCM of Numerators as per given numbers 98/825, 48/745, 456/411 is

LCM of Numerators i.e. for 98,48,456 is 44688

GCF of denominators i.e. for 825,745,411 is 1.

Thus, LCM of Fractions is 44688.Finally, LCM of Fractions for 98/825, 48/745, 456/411 is 44688.