Least Common Multiple of 830/857, 947/324, 907/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/857, 947/324, 907/258 quickly i.e. 712911070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/857, 947/324, 907/258 is 712911070.

LCM(830/857, 947/324, 907/258) = 712911070

LCM of 830/857, 947/324, 907/258

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 830/857,947/324,907/258

Given numbers are 830/857,947/324,907/258

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 830,947,907

Least Common Multiple of Numerators i.e. LCM of 830,947,907 is 712911070.

GCF of Denominators means GCF of 857,324,258 as per the given fractions.

GCF of 857,324,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,947,907

LCM of Fractions 830/857,947/324,907/258 is 712911070

Given numbers has no common factors except 1. So, there LCM is their product i.e 712911070

Least Common Multiple of 830,947,907 with GCF Formula

Least Common Multiple of 830,947,907 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 830,947,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,947,907) = 1

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

GCF(830,947,907) x common factors =1 x 1 = 1

LCM(830,947,907) = ( 830 × 947 × 907 ) / 1

LCM(830,947,907) = 712911070 / 1

LCM(830,947,907) = 712911070


Lets's calculate GCF of 857,324,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712911070/1

Therefore the LCM of Fractions 830/857,947/324,907/258 is 712911070

Greatest Common Factor of 857,324,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,324,258 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 857,324,258 . The biggest common factor number is the GCF number.
So the greatest common factor 857,324,258 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 830/857, 947/324, 907/258

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 830/857, 947/324, 907/258?

Answer: LCM of Numerators as per given numbers 830/857, 947/324, 907/258 is

LCM of Numerators i.e. for 830,947,907 is 712911070

GCF of denominators i.e. for 857,324,258 is 1.

Thus, LCM of Fractions is 712911070.Finally, LCM of Fractions for 830/857, 947/324, 907/258 is 712911070.