Least Common Multiple of 40/566, 506/750, 925/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/566, 506/750, 925/253 quickly i.e. 1872200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/566, 506/750, 925/253 is 1872200.

LCM(40/566, 506/750, 925/253) = 1872200

LCM of 40/566, 506/750, 925/253

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 40/566,506/750,925/253

Given numbers are 40/566,506/750,925/253

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 40,506,925

Least Common Multiple of Numerators i.e. LCM of 40,506,925 is 1872200.

GCF of Denominators means GCF of 566,750,253 as per the given fractions.

GCF of 566,750,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,506,925

LCM of Fractions 40/566,506/750,925/253 is 1872200

2 40, 506, 925
5 20, 253, 925
4, 253, 185

∴ So the LCM of the given numbers is 2 x 5 x 4 x 253 x 185 = 1872200

Least Common Multiple of 40,506,925 with GCF Formula

Least Common Multiple of 40,506,925 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 40,506,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,506,925) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,506,925) x common factors =1 x 10 = 10

LCM(40,506,925) = ( 40 × 506 × 925 ) / 10

LCM(40,506,925) = 18722000 / 10

LCM(40,506,925) = 1872200


Lets's calculate GCF of 566,750,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872200/1

Therefore the LCM of Fractions 40/566,506/750,925/253 is 1872200

Greatest Common Factor of 566,750,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,750,253 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 566,750,253 . The biggest common factor number is the GCF number.
So the greatest common factor 566,750,253 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 40/566, 506/750, 925/253

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 40/566, 506/750, 925/253?

Answer: LCM of Numerators as per given numbers 40/566, 506/750, 925/253 is

LCM of Numerators i.e. for 40,506,925 is 1872200

GCF of denominators i.e. for 566,750,253 is 1.

Thus, LCM of Fractions is 1872200.Finally, LCM of Fractions for 40/566, 506/750, 925/253 is 1872200.