Least Common Multiple of 42/525, 199/657, 556/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 42/525, 199/657, 556/630 quickly i.e. 774508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/525, 199/657, 556/630 is 774508.

LCM(42/525, 199/657, 556/630) = 774508

LCM of 42/525, 199/657, 556/630

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 42/525,199/657,556/630

Given numbers are 42/525,199/657,556/630

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 42,199,556

Least Common Multiple of Numerators i.e. LCM of 42,199,556 is 2323524.

GCF of Denominators means GCF of 525,657,630 as per the given fractions.

GCF of 525,657,630 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,199,556

LCM of Fractions 42/525,199/657,556/630 is 774508

2 42, 199, 556
21, 199, 278

∴ So the LCM of the given numbers is 2 x 21 x 199 x 278 = 2323524

Least Common Multiple of 42,199,556 with GCF Formula

Least Common Multiple of 42,199,556 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 42,199,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,199,556) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,199,556) x common factors =1 x 2 = 2

LCM(42,199,556) = ( 42 × 199 × 556 ) / 2

LCM(42,199,556) = 4647048 / 2

LCM(42,199,556) = 2323524


Lets's calculate GCF of 525,657,630

3 525, 657, 630
175, 219, 210

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2323524/3

Therefore the LCM of Fractions 42/525,199/657,556/630 is 774508

Greatest Common Factor of 525,657,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,657,630 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 525,657,630 . The biggest common factor number is the GCF number.
So the greatest common factor 525,657,630 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 42/525, 199/657, 556/630

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 42/525, 199/657, 556/630?

Answer: LCM of Numerators as per given numbers 42/525, 199/657, 556/630 is

LCM of Numerators i.e. for 42,199,556 is 2323524

GCF of denominators i.e. for 525,657,630 is 3.

Thus, LCM of Fractions is 774508.Finally, LCM of Fractions for 42/525, 199/657, 556/630 is 774508.