Least Common Multiple of 253/555, 506/781, 564/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/555, 506/781, 564/146 quickly i.e. 142692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/555, 506/781, 564/146 is 142692.

LCM(253/555, 506/781, 564/146) = 142692

LCM of 253/555, 506/781, 564/146

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 253/555,506/781,564/146

Given numbers are 253/555,506/781,564/146

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 253,506,564

Least Common Multiple of Numerators i.e. LCM of 253,506,564 is 142692.

GCF of Denominators means GCF of 555,781,146 as per the given fractions.

GCF of 555,781,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,506,564

LCM of Fractions 253/555,506/781,564/146 is 142692

2 253, 506, 564
11 253, 253, 282
23 23, 23, 282
1, 1, 282

∴ So the LCM of the given numbers is 2 x 11 x 23 x 1 x 1 x 282 = 142692

Least Common Multiple of 253,506,564 with GCF Formula

Least Common Multiple of 253,506,564 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 253,506,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,506,564) = 1

common factors(in case of two or more numbers have common factors) = 506

GCF(253,506,564) x common factors =1 x 506 = 506

LCM(253,506,564) = ( 253 × 506 × 564 ) / 506

LCM(253,506,564) = 72202152 / 506

LCM(253,506,564) = 142692


Lets's calculate GCF of 555,781,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142692/1

Therefore the LCM of Fractions 253/555,506/781,564/146 is 142692

Greatest Common Factor of 555,781,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,781,146 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 555,781,146 . The biggest common factor number is the GCF number.
So the greatest common factor 555,781,146 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 253/555, 506/781, 564/146

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 253/555, 506/781, 564/146?

Answer: LCM of Numerators as per given numbers 253/555, 506/781, 564/146 is

LCM of Numerators i.e. for 253,506,564 is 142692

GCF of denominators i.e. for 555,781,146 is 1.

Thus, LCM of Fractions is 142692.Finally, LCM of Fractions for 253/555, 506/781, 564/146 is 142692.