Least Common Multiple of 32/113, 574/375, 490/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/113, 574/375, 490/175 quickly i.e. 321440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/113, 574/375, 490/175 is 321440.

LCM(32/113, 574/375, 490/175) = 321440

LCM of 32/113, 574/375, 490/175

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 32/113,574/375,490/175

Given numbers are 32/113,574/375,490/175

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 32,574,490

Least Common Multiple of Numerators i.e. LCM of 32,574,490 is 321440.

GCF of Denominators means GCF of 113,375,175 as per the given fractions.

GCF of 113,375,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,574,490

LCM of Fractions 32/113,574/375,490/175 is 321440

2 32, 574, 490
7 16, 287, 245
16, 41, 35

∴ So the LCM of the given numbers is 2 x 7 x 16 x 41 x 35 = 321440

Least Common Multiple of 32,574,490 with GCF Formula

Least Common Multiple of 32,574,490 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 32,574,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,574,490) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(32,574,490) x common factors =2 x 14 = 28

LCM(32,574,490) = ( 32 × 574 × 490 ) / 28

LCM(32,574,490) = 9000320 / 28

LCM(32,574,490) = 321440


Lets's calculate GCF of 113,375,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321440/1

Therefore the LCM of Fractions 32/113,574/375,490/175 is 321440

Greatest Common Factor of 113,375,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,375,175 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 175

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

1,5,7,25,35,175

Greatest Common Factor

We found the factors 113,375,175 . The biggest common factor number is the GCF number.
So the greatest common factor 113,375,175 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 32/113, 574/375, 490/175

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 32/113, 574/375, 490/175?

Answer: LCM of Numerators as per given numbers 32/113, 574/375, 490/175 is

LCM of Numerators i.e. for 32,574,490 is 321440

GCF of denominators i.e. for 113,375,175 is 1.

Thus, LCM of Fractions is 321440.Finally, LCM of Fractions for 32/113, 574/375, 490/175 is 321440.