Least Common Multiple of 446/508, 241/914, 688/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 446/508, 241/914, 688/172 quickly i.e. 18487592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/508, 241/914, 688/172 is 18487592.

LCM(446/508, 241/914, 688/172) = 18487592

LCM of 446/508, 241/914, 688/172

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 446/508,241/914,688/172

Given numbers are 446/508,241/914,688/172

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 446,241,688

Least Common Multiple of Numerators i.e. LCM of 446,241,688 is 36975184.

GCF of Denominators means GCF of 508,914,172 as per the given fractions.

GCF of 508,914,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,241,688

LCM of Fractions 446/508,241/914,688/172 is 18487592

2 446, 241, 688
223, 241, 344

∴ So the LCM of the given numbers is 2 x 223 x 241 x 344 = 36975184

Least Common Multiple of 446,241,688 with GCF Formula

Least Common Multiple of 446,241,688 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 446,241,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,241,688) = 1

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

GCF(446,241,688) x common factors =1 x 2 = 2

LCM(446,241,688) = ( 446 × 241 × 688 ) / 2

LCM(446,241,688) = 73950368 / 2

LCM(446,241,688) = 36975184


Lets's calculate GCF of 508,914,172

2 508, 914, 172
254, 457, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36975184/2

Therefore the LCM of Fractions 446/508,241/914,688/172 is 18487592

Greatest Common Factor of 508,914,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,914,172 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 508,914,172 . The biggest common factor number is the GCF number.
So the greatest common factor 508,914,172 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 446/508, 241/914, 688/172

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 446/508, 241/914, 688/172?

Answer: LCM of Numerators as per given numbers 446/508, 241/914, 688/172 is

LCM of Numerators i.e. for 446,241,688 is 36975184

GCF of denominators i.e. for 508,914,172 is 2.

Thus, LCM of Fractions is 18487592.Finally, LCM of Fractions for 446/508, 241/914, 688/172 is 18487592.