Least Common Multiple of 74/119, 410/834, 167/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/119, 410/834, 167/170 quickly i.e. 2533390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/119, 410/834, 167/170 is 2533390.

LCM(74/119, 410/834, 167/170) = 2533390

LCM of 74/119, 410/834, 167/170

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 74/119,410/834,167/170

Given numbers are 74/119,410/834,167/170

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 74,410,167

Least Common Multiple of Numerators i.e. LCM of 74,410,167 is 2533390.

GCF of Denominators means GCF of 119,834,170 as per the given fractions.

GCF of 119,834,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,410,167

LCM of Fractions 74/119,410/834,167/170 is 2533390

2 74, 410, 167
37, 205, 167

∴ So the LCM of the given numbers is 2 x 37 x 205 x 167 = 2533390

Least Common Multiple of 74,410,167 with GCF Formula

Least Common Multiple of 74,410,167 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 74,410,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,410,167) = 1

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

GCF(74,410,167) x common factors =1 x 2 = 2

LCM(74,410,167) = ( 74 × 410 × 167 ) / 2

LCM(74,410,167) = 5066780 / 2

LCM(74,410,167) = 2533390


Lets's calculate GCF of 119,834,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533390/1

Therefore the LCM of Fractions 74/119,410/834,167/170 is 2533390

Greatest Common Factor of 119,834,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,834,170 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 119,834,170 . The biggest common factor number is the GCF number.
So the greatest common factor 119,834,170 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 74/119, 410/834, 167/170

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 74/119, 410/834, 167/170?

Answer: LCM of Numerators as per given numbers 74/119, 410/834, 167/170 is

LCM of Numerators i.e. for 74,410,167 is 2533390

GCF of denominators i.e. for 119,834,170 is 1.

Thus, LCM of Fractions is 2533390.Finally, LCM of Fractions for 74/119, 410/834, 167/170 is 2533390.