Least Common Multiple of 456/703, 675/440, 471/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/703, 675/440, 471/946 quickly i.e. 16108200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/703, 675/440, 471/946 is 16108200.

LCM(456/703, 675/440, 471/946) = 16108200

LCM of 456/703, 675/440, 471/946

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 456/703,675/440,471/946

Given numbers are 456/703,675/440,471/946

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 456,675,471

Least Common Multiple of Numerators i.e. LCM of 456,675,471 is 16108200.

GCF of Denominators means GCF of 703,440,946 as per the given fractions.

GCF of 703,440,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,675,471

LCM of Fractions 456/703,675/440,471/946 is 16108200

3 456, 675, 471
152, 225, 157

∴ So the LCM of the given numbers is 3 x 152 x 225 x 157 = 16108200

Least Common Multiple of 456,675,471 with GCF Formula

Least Common Multiple of 456,675,471 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 456,675,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,675,471) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(456,675,471) x common factors =3 x 3 = 9

LCM(456,675,471) = ( 456 × 675 × 471 ) / 9

LCM(456,675,471) = 144973800 / 9

LCM(456,675,471) = 16108200


Lets's calculate GCF of 703,440,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16108200/1

Therefore the LCM of Fractions 456/703,675/440,471/946 is 16108200

Greatest Common Factor of 703,440,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,440,946 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 703,440,946 . The biggest common factor number is the GCF number.
So the greatest common factor 703,440,946 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 456/703, 675/440, 471/946

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 456/703, 675/440, 471/946?

Answer: LCM of Numerators as per given numbers 456/703, 675/440, 471/946 is

LCM of Numerators i.e. for 456,675,471 is 16108200

GCF of denominators i.e. for 703,440,946 is 1.

Thus, LCM of Fractions is 16108200.Finally, LCM of Fractions for 456/703, 675/440, 471/946 is 16108200.