Least Common Multiple of 4571/14, 2730/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4571/14, 2730/630 quickly i.e. 127335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4571/14, 2730/630 is 127335.

LCM(4571/14, 2730/630) = 127335

LCM of 4571/14, 2730/630

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 4571/14,2730/630

Given numbers are 4571/14,2730/630

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 4571,2730

Least Common Multiple of Numerators i.e. LCM of 4571,2730 is 1782690.

GCF of Denominators means GCF of 14,630 as per the given fractions.

GCF of 14,630 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4571,2730

LCM of Fractions 4571/14,2730/630 is 127335

7 4571, 2730
653, 390

∴ So the LCM of the given numbers is 7 x 653 x 390 = 1782690

Least Common Multiple of 4571,2730 with GCF Formula

Least Common Multiple of 4571,2730 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 4571,2730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4571,2730) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(4571,2730) x common factors =7 x 1 = 7

LCM(4571,2730) = ( 4571 × 2730 ) / 7

LCM(4571,2730) = 12478830 / 7

LCM(4571,2730) = 1782690


Lets's calculate GCF of 14,630

2 14, 630
7 7, 315
1, 45

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1782690/14

Therefore the LCM of Fractions 4571/14,2730/630 is 127335

Greatest Common Factor of 14,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,630 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 14,630 . The biggest common factor number is the GCF number.
So the greatest common factor 14,630 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4571/14, 2730/630

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 4571/14, 2730/630?

Answer: LCM of Numerators as per given numbers 4571/14, 2730/630 is

LCM of Numerators i.e. for 4571,2730 is 1782690

GCF of denominators i.e. for 14,630 is 14.

Thus, LCM of Fractions is 127335.Finally, LCM of Fractions for 4571/14, 2730/630 is 127335.