Least Common Multiple of 17/237, 870/416, 899/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/237, 870/416, 899/175 quickly i.e. 458490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/237, 870/416, 899/175 is 458490.

LCM(17/237, 870/416, 899/175) = 458490

LCM of 17/237, 870/416, 899/175

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 17/237,870/416,899/175

Given numbers are 17/237,870/416,899/175

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 17,870,899

Least Common Multiple of Numerators i.e. LCM of 17,870,899 is 458490.

GCF of Denominators means GCF of 237,416,175 as per the given fractions.

GCF of 237,416,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,870,899

LCM of Fractions 17/237,870/416,899/175 is 458490

29 17, 870, 899
17, 30, 31

∴ So the LCM of the given numbers is 29 x 17 x 30 x 31 = 458490

Least Common Multiple of 17,870,899 with GCF Formula

Least Common Multiple of 17,870,899 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 17,870,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,870,899) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(17,870,899) x common factors =1 x 29 = 29

LCM(17,870,899) = ( 17 × 870 × 899 ) / 29

LCM(17,870,899) = 13296210 / 29

LCM(17,870,899) = 458490


Lets's calculate GCF of 237,416,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458490/1

Therefore the LCM of Fractions 17/237,870/416,899/175 is 458490

Greatest Common Factor of 237,416,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,416,175 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

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 237,416,175 . The biggest common factor number is the GCF number.
So the greatest common factor 237,416,175 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 17/237, 870/416, 899/175

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 17/237, 870/416, 899/175?

Answer: LCM of Numerators as per given numbers 17/237, 870/416, 899/175 is

LCM of Numerators i.e. for 17,870,899 is 458490

GCF of denominators i.e. for 237,416,175 is 1.

Thus, LCM of Fractions is 458490.Finally, LCM of Fractions for 17/237, 870/416, 899/175 is 458490.