Least Common Multiple of 428/86, 505/30, 713/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/86, 505/30, 713/910 quickly i.e. 77053910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/86, 505/30, 713/910 is 77053910.

LCM(428/86, 505/30, 713/910) = 77053910

LCM of 428/86, 505/30, 713/910

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 428/86,505/30,713/910

Given numbers are 428/86,505/30,713/910

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 428,505,713

Least Common Multiple of Numerators i.e. LCM of 428,505,713 is 154107820.

GCF of Denominators means GCF of 86,30,910 as per the given fractions.

GCF of 86,30,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,505,713

LCM of Fractions 428/86,505/30,713/910 is 77053910

Given numbers has no common factors except 1. So, there LCM is their product i.e 154107820

Least Common Multiple of 428,505,713 with GCF Formula

Least Common Multiple of 428,505,713 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 428,505,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,505,713) = 1

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

GCF(428,505,713) x common factors =1 x 1 = 1

LCM(428,505,713) = ( 428 × 505 × 713 ) / 1

LCM(428,505,713) = 154107820 / 1

LCM(428,505,713) = 154107820


Lets's calculate GCF of 86,30,910

2 86, 30, 910
43, 15, 455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154107820/2

Therefore the LCM of Fractions 428/86,505/30,713/910 is 77053910

Greatest Common Factor of 86,30,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,30,910 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 86,30,910 . The biggest common factor number is the GCF number.
So the greatest common factor 86,30,910 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 428/86, 505/30, 713/910

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 428/86, 505/30, 713/910?

Answer: LCM of Numerators as per given numbers 428/86, 505/30, 713/910 is

LCM of Numerators i.e. for 428,505,713 is 154107820

GCF of denominators i.e. for 86,30,910 is 2.

Thus, LCM of Fractions is 77053910.Finally, LCM of Fractions for 428/86, 505/30, 713/910 is 77053910.