Least Common Multiple of 902/350, 729/175, 712/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 902/350, 729/175, 712/911 quickly i.e. 234090648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/350, 729/175, 712/911 is 234090648.

LCM(902/350, 729/175, 712/911) = 234090648

LCM of 902/350, 729/175, 712/911

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 902/350,729/175,712/911

Given numbers are 902/350,729/175,712/911

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 902,729,712

Least Common Multiple of Numerators i.e. LCM of 902,729,712 is 234090648.

GCF of Denominators means GCF of 350,175,911 as per the given fractions.

GCF of 350,175,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,729,712

LCM of Fractions 902/350,729/175,712/911 is 234090648

2 902, 729, 712
451, 729, 356

∴ So the LCM of the given numbers is 2 x 451 x 729 x 356 = 234090648

Least Common Multiple of 902,729,712 with GCF Formula

Least Common Multiple of 902,729,712 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 902,729,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,729,712) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(902,729,712) x common factors =1 x 2 = 2

LCM(902,729,712) = ( 902 × 729 × 712 ) / 2

LCM(902,729,712) = 468181296 / 2

LCM(902,729,712) = 234090648


Lets's calculate GCF of 350,175,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234090648/1

Therefore the LCM of Fractions 902/350,729/175,712/911 is 234090648

Greatest Common Factor of 350,175,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,175,911 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 350,175,911 . The biggest common factor number is the GCF number.
So the greatest common factor 350,175,911 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 902/350, 729/175, 712/911

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 902/350, 729/175, 712/911?

Answer: LCM of Numerators as per given numbers 902/350, 729/175, 712/911 is

LCM of Numerators i.e. for 902,729,712 is 234090648

GCF of denominators i.e. for 350,175,911 is 1.

Thus, LCM of Fractions is 234090648.Finally, LCM of Fractions for 902/350, 729/175, 712/911 is 234090648.