Least Common Multiple of 10/545, 440/490, 462/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/545, 440/490, 462/284 quickly i.e. 9240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/545, 440/490, 462/284 is 9240.

LCM(10/545, 440/490, 462/284) = 9240

LCM of 10/545, 440/490, 462/284

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 10/545,440/490,462/284

Given numbers are 10/545,440/490,462/284

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 10,440,462

Least Common Multiple of Numerators i.e. LCM of 10,440,462 is 9240.

GCF of Denominators means GCF of 545,490,284 as per the given fractions.

GCF of 545,490,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,440,462

LCM of Fractions 10/545,440/490,462/284 is 9240

2 10, 440, 462
5 5, 220, 231
11 1, 44, 231
1, 4, 21

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 4 x 21 = 9240

Least Common Multiple of 10,440,462 with GCF Formula

Least Common Multiple of 10,440,462 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 10,440,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,440,462) = 2

common factors(in case of two or more numbers have common factors) = 110

GCF(10,440,462) x common factors =2 x 110 = 220

LCM(10,440,462) = ( 10 × 440 × 462 ) / 220

LCM(10,440,462) = 2032800 / 220

LCM(10,440,462) = 9240


Lets's calculate GCF of 545,490,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240/1

Therefore the LCM of Fractions 10/545,440/490,462/284 is 9240

Greatest Common Factor of 545,490,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,490,284 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 545,490,284 . The biggest common factor number is the GCF number.
So the greatest common factor 545,490,284 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 10/545, 440/490, 462/284

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 10/545, 440/490, 462/284?

Answer: LCM of Numerators as per given numbers 10/545, 440/490, 462/284 is

LCM of Numerators i.e. for 10,440,462 is 9240

GCF of denominators i.e. for 545,490,284 is 1.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 10/545, 440/490, 462/284 is 9240.