Least Common Multiple of 10/460, 428/975, 214/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/460, 428/975, 214/784 quickly i.e. 2140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/460, 428/975, 214/784 is 2140.

LCM(10/460, 428/975, 214/784) = 2140

LCM of 10/460, 428/975, 214/784

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 10/460,428/975,214/784

Given numbers are 10/460,428/975,214/784

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 10,428,214

Least Common Multiple of Numerators i.e. LCM of 10,428,214 is 2140.

GCF of Denominators means GCF of 460,975,784 as per the given fractions.

GCF of 460,975,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,428,214

LCM of Fractions 10/460,428/975,214/784 is 2140

2 10, 428, 214
107 5, 214, 107
5, 2, 1

∴ So the LCM of the given numbers is 2 x 107 x 5 x 2 x 1 = 2140

Least Common Multiple of 10,428,214 with GCF Formula

Least Common Multiple of 10,428,214 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 10,428,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,428,214) = 2

common factors(in case of two or more numbers have common factors) = 214

GCF(10,428,214) x common factors =2 x 214 = 428

LCM(10,428,214) = ( 10 × 428 × 214 ) / 428

LCM(10,428,214) = 915920 / 428

LCM(10,428,214) = 2140


Lets's calculate GCF of 460,975,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2140/1

Therefore the LCM of Fractions 10/460,428/975,214/784 is 2140

Greatest Common Factor of 460,975,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,975,784 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 460,975,784 . The biggest common factor number is the GCF number.
So the greatest common factor 460,975,784 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 10/460, 428/975, 214/784

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 10/460, 428/975, 214/784?

Answer: LCM of Numerators as per given numbers 10/460, 428/975, 214/784 is

LCM of Numerators i.e. for 10,428,214 is 2140

GCF of denominators i.e. for 460,975,784 is 1.

Thus, LCM of Fractions is 2140.Finally, LCM of Fractions for 10/460, 428/975, 214/784 is 2140.