Least Common Multiple of 170/34, 998/74, 899/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/34, 998/74, 899/76 quickly i.e. 38131085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/34, 998/74, 899/76 is 38131085.

LCM(170/34, 998/74, 899/76) = 38131085

LCM of 170/34, 998/74, 899/76

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 170/34,998/74,899/76

Given numbers are 170/34,998/74,899/76

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 170,998,899

Least Common Multiple of Numerators i.e. LCM of 170,998,899 is 76262170.

GCF of Denominators means GCF of 34,74,76 as per the given fractions.

GCF of 34,74,76 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,998,899

LCM of Fractions 170/34,998/74,899/76 is 38131085

2 170, 998, 899
85, 499, 899

∴ So the LCM of the given numbers is 2 x 85 x 499 x 899 = 76262170

Least Common Multiple of 170,998,899 with GCF Formula

Least Common Multiple of 170,998,899 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 170,998,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,998,899) = 1

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

GCF(170,998,899) x common factors =1 x 2 = 2

LCM(170,998,899) = ( 170 × 998 × 899 ) / 2

LCM(170,998,899) = 152524340 / 2

LCM(170,998,899) = 76262170


Lets's calculate GCF of 34,74,76

2 34, 74, 76
17, 37, 38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76262170/2

Therefore the LCM of Fractions 170/34,998/74,899/76 is 38131085

Greatest Common Factor of 34,74,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,74,76 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 34,74,76 . The biggest common factor number is the GCF number.
So the greatest common factor 34,74,76 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 170/34, 998/74, 899/76

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 170/34, 998/74, 899/76?

Answer: LCM of Numerators as per given numbers 170/34, 998/74, 899/76 is

LCM of Numerators i.e. for 170,998,899 is 76262170

GCF of denominators i.e. for 34,74,76 is 2.

Thus, LCM of Fractions is 38131085.Finally, LCM of Fractions for 170/34, 998/74, 899/76 is 38131085.