Least Common Multiple of 63/110, 70/488, 424/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/110, 70/488, 424/556 quickly i.e. 66780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/110, 70/488, 424/556 is 66780.

LCM(63/110, 70/488, 424/556) = 66780

LCM of 63/110, 70/488, 424/556

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 63/110,70/488,424/556

Given numbers are 63/110,70/488,424/556

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 63,70,424

Least Common Multiple of Numerators i.e. LCM of 63,70,424 is 133560.

GCF of Denominators means GCF of 110,488,556 as per the given fractions.

GCF of 110,488,556 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,70,424

LCM of Fractions 63/110,70/488,424/556 is 66780

2 63, 70, 424
7 63, 35, 212
9, 5, 212

∴ So the LCM of the given numbers is 2 x 7 x 9 x 5 x 212 = 133560

Least Common Multiple of 63,70,424 with GCF Formula

Least Common Multiple of 63,70,424 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 63,70,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,70,424) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(63,70,424) x common factors =1 x 14 = 14

LCM(63,70,424) = ( 63 × 70 × 424 ) / 14

LCM(63,70,424) = 1869840 / 14

LCM(63,70,424) = 133560


Lets's calculate GCF of 110,488,556

2 110, 488, 556
55, 244, 278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133560/2

Therefore the LCM of Fractions 63/110,70/488,424/556 is 66780

Greatest Common Factor of 110,488,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,488,556 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 110,488,556 . The biggest common factor number is the GCF number.
So the greatest common factor 110,488,556 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/110, 70/488, 424/556

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 63/110, 70/488, 424/556?

Answer: LCM of Numerators as per given numbers 63/110, 70/488, 424/556 is

LCM of Numerators i.e. for 63,70,424 is 133560

GCF of denominators i.e. for 110,488,556 is 2.

Thus, LCM of Fractions is 66780.Finally, LCM of Fractions for 63/110, 70/488, 424/556 is 66780.