Least Common Multiple of 5425/456, 4185/2490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5425/456, 4185/2490 quickly i.e. 146475/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5425/456, 4185/2490 is 146475/6.

LCM(5425/456, 4185/2490) = 146475/6

LCM of 5425/456, 4185/2490

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 5425/456,4185/2490

Given numbers are 5425/456,4185/2490

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 5425,4185

Least Common Multiple of Numerators i.e. LCM of 5425,4185 is 146475.

GCF of Denominators means GCF of 456,2490 as per the given fractions.

GCF of 456,2490 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5425,4185

LCM of Fractions 5425/456,4185/2490 is 146475/6

5 5425, 4185
31 1085, 837
35, 27

∴ So the LCM of the given numbers is 5 x 31 x 35 x 27 = 146475

Least Common Multiple of 5425,4185 with GCF Formula

Least Common Multiple of 5425,4185 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 5425,4185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5425,4185) = 155

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

GCF(5425,4185) x common factors =155 x 1 = 155

LCM(5425,4185) = ( 5425 × 4185 ) / 155

LCM(5425,4185) = 22703625 / 155

LCM(5425,4185) = 146475


Lets's calculate GCF of 456,2490

2 456, 2490
3 228, 1245
76, 415

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146475/6

Therefore the LCM of Fractions 5425/456,4185/2490 is 146475/6

Greatest Common Factor of 456,2490 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,2490 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 2490

List of positive integer factors of 2490 that divides 2490 without a remainder.

1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490

Greatest Common Factor

We found the factors 456,2490 . The biggest common factor number is the GCF number.
So the greatest common factor 456,2490 is 6.


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 5425/456, 4185/2490

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 5425/456, 4185/2490?

Answer: LCM of Numerators as per given numbers 5425/456, 4185/2490 is

LCM of Numerators i.e. for 5425,4185 is 146475

GCF of denominators i.e. for 456,2490 is 6.

Thus, LCM of Fractions is 146475/6.Finally, LCM of Fractions for 5425/456, 4185/2490 is 146475/6.