Least Common Multiple of 988/501, 474/870, 164/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/501, 474/870, 164/175 quickly i.e. 9600396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/501, 474/870, 164/175 is 9600396.

LCM(988/501, 474/870, 164/175) = 9600396

LCM of 988/501, 474/870, 164/175

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 988/501,474/870,164/175

Given numbers are 988/501,474/870,164/175

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 988,474,164

Least Common Multiple of Numerators i.e. LCM of 988,474,164 is 9600396.

GCF of Denominators means GCF of 501,870,175 as per the given fractions.

GCF of 501,870,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,474,164

LCM of Fractions 988/501,474/870,164/175 is 9600396

2 988, 474, 164
2 494, 237, 82
247, 237, 41

∴ So the LCM of the given numbers is 2 x 2 x 247 x 237 x 41 = 9600396

Least Common Multiple of 988,474,164 with GCF Formula

Least Common Multiple of 988,474,164 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 988,474,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,474,164) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(988,474,164) x common factors =2 x 4 = 8

LCM(988,474,164) = ( 988 × 474 × 164 ) / 8

LCM(988,474,164) = 76803168 / 8

LCM(988,474,164) = 9600396


Lets's calculate GCF of 501,870,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9600396/1

Therefore the LCM of Fractions 988/501,474/870,164/175 is 9600396

Greatest Common Factor of 501,870,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,870,175 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

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 501,870,175 . The biggest common factor number is the GCF number.
So the greatest common factor 501,870,175 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 988/501, 474/870, 164/175

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 988/501, 474/870, 164/175?

Answer: LCM of Numerators as per given numbers 988/501, 474/870, 164/175 is

LCM of Numerators i.e. for 988,474,164 is 9600396

GCF of denominators i.e. for 501,870,175 is 1.

Thus, LCM of Fractions is 9600396.Finally, LCM of Fractions for 988/501, 474/870, 164/175 is 9600396.