Least Common Multiple of 49/856, 431/718, 242/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/856, 431/718, 242/470 quickly i.e. 2555399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/856, 431/718, 242/470 is 2555399.

LCM(49/856, 431/718, 242/470) = 2555399

LCM of 49/856, 431/718, 242/470

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 49/856,431/718,242/470

Given numbers are 49/856,431/718,242/470

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 49,431,242

Least Common Multiple of Numerators i.e. LCM of 49,431,242 is 5110798.

GCF of Denominators means GCF of 856,718,470 as per the given fractions.

GCF of 856,718,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,431,242

LCM of Fractions 49/856,431/718,242/470 is 2555399

Given numbers has no common factors except 1. So, there LCM is their product i.e 5110798

Least Common Multiple of 49,431,242 with GCF Formula

Least Common Multiple of 49,431,242 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 49,431,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,431,242) = 1

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

GCF(49,431,242) x common factors =1 x 1 = 1

LCM(49,431,242) = ( 49 × 431 × 242 ) / 1

LCM(49,431,242) = 5110798 / 1

LCM(49,431,242) = 5110798


Lets's calculate GCF of 856,718,470

2 856, 718, 470
428, 359, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5110798/2

Therefore the LCM of Fractions 49/856,431/718,242/470 is 2555399

Greatest Common Factor of 856,718,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,718,470 By Matching Biggest Common Factor Method

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 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 856,718,470 . The biggest common factor number is the GCF number.
So the greatest common factor 856,718,470 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 49/856, 431/718, 242/470

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 49/856, 431/718, 242/470?

Answer: LCM of Numerators as per given numbers 49/856, 431/718, 242/470 is

LCM of Numerators i.e. for 49,431,242 is 5110798

GCF of denominators i.e. for 856,718,470 is 2.

Thus, LCM of Fractions is 2555399.Finally, LCM of Fractions for 49/856, 431/718, 242/470 is 2555399.