Least Common Multiple of 10/14, 48/856, 471/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/14, 48/856, 471/868 quickly i.e. 18840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/14, 48/856, 471/868 is 18840.

LCM(10/14, 48/856, 471/868) = 18840

LCM of 10/14, 48/856, 471/868

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 10/14,48/856,471/868

Given numbers are 10/14,48/856,471/868

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 10,48,471

Least Common Multiple of Numerators i.e. LCM of 10,48,471 is 37680.

GCF of Denominators means GCF of 14,856,868 as per the given fractions.

GCF of 14,856,868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,48,471

LCM of Fractions 10/14,48/856,471/868 is 18840

2 10, 48, 471
3 5, 24, 471
5, 8, 157

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 157 = 37680

Least Common Multiple of 10,48,471 with GCF Formula

Least Common Multiple of 10,48,471 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 10,48,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,48,471) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(10,48,471) x common factors =1 x 6 = 6

LCM(10,48,471) = ( 10 × 48 × 471 ) / 6

LCM(10,48,471) = 226080 / 6

LCM(10,48,471) = 37680


Lets's calculate GCF of 14,856,868

2 14, 856, 868
7, 428, 434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37680/2

Therefore the LCM of Fractions 10/14,48/856,471/868 is 18840

Greatest Common Factor of 14,856,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,856,868 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 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 14,856,868 . The biggest common factor number is the GCF number.
So the greatest common factor 14,856,868 is 2.


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 10/14, 48/856, 471/868

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 10/14, 48/856, 471/868?

Answer: LCM of Numerators as per given numbers 10/14, 48/856, 471/868 is

LCM of Numerators i.e. for 10,48,471 is 37680

GCF of denominators i.e. for 14,856,868 is 2.

Thus, LCM of Fractions is 18840.Finally, LCM of Fractions for 10/14, 48/856, 471/868 is 18840.