Least Common Multiple of 25/738, 188/92, 488/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/738, 188/92, 488/620 quickly i.e. 286700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/738, 188/92, 488/620 is 286700.

LCM(25/738, 188/92, 488/620) = 286700

LCM of 25/738, 188/92, 488/620

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 25/738,188/92,488/620

Given numbers are 25/738,188/92,488/620

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 25,188,488

Least Common Multiple of Numerators i.e. LCM of 25,188,488 is 573400.

GCF of Denominators means GCF of 738,92,620 as per the given fractions.

GCF of 738,92,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,188,488

LCM of Fractions 25/738,188/92,488/620 is 286700

2 25, 188, 488
2 25, 94, 244
25, 47, 122

∴ So the LCM of the given numbers is 2 x 2 x 25 x 47 x 122 = 573400

Least Common Multiple of 25,188,488 with GCF Formula

Least Common Multiple of 25,188,488 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 25,188,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,188,488) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(25,188,488) x common factors =1 x 4 = 4

LCM(25,188,488) = ( 25 × 188 × 488 ) / 4

LCM(25,188,488) = 2293600 / 4

LCM(25,188,488) = 573400


Lets's calculate GCF of 738,92,620

2 738, 92, 620
369, 46, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 573400/2

Therefore the LCM of Fractions 25/738,188/92,488/620 is 286700

Greatest Common Factor of 738,92,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,92,620 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 738,92,620 . The biggest common factor number is the GCF number.
So the greatest common factor 738,92,620 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 25/738, 188/92, 488/620

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 25/738, 188/92, 488/620?

Answer: LCM of Numerators as per given numbers 25/738, 188/92, 488/620 is

LCM of Numerators i.e. for 25,188,488 is 573400

GCF of denominators i.e. for 738,92,620 is 2.

Thus, LCM of Fractions is 286700.Finally, LCM of Fractions for 25/738, 188/92, 488/620 is 286700.