Least Common Multiple of 42/751, 29/805, 390/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/751, 29/805, 390/170 quickly i.e. 79170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/751, 29/805, 390/170 is 79170.

LCM(42/751, 29/805, 390/170) = 79170

LCM of 42/751, 29/805, 390/170

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 42/751,29/805,390/170

Given numbers are 42/751,29/805,390/170

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 42,29,390

Least Common Multiple of Numerators i.e. LCM of 42,29,390 is 79170.

GCF of Denominators means GCF of 751,805,170 as per the given fractions.

GCF of 751,805,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,29,390

LCM of Fractions 42/751,29/805,390/170 is 79170

2 42, 29, 390
3 21, 29, 195
7, 29, 65

∴ So the LCM of the given numbers is 2 x 3 x 7 x 29 x 65 = 79170

Least Common Multiple of 42,29,390 with GCF Formula

Least Common Multiple of 42,29,390 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 42,29,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,29,390) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,29,390) x common factors =1 x 6 = 6

LCM(42,29,390) = ( 42 × 29 × 390 ) / 6

LCM(42,29,390) = 475020 / 6

LCM(42,29,390) = 79170


Lets's calculate GCF of 751,805,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79170/1

Therefore the LCM of Fractions 42/751,29/805,390/170 is 79170

Greatest Common Factor of 751,805,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,805,170 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

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 751,805,170 . The biggest common factor number is the GCF number.
So the greatest common factor 751,805,170 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 42/751, 29/805, 390/170

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 42/751, 29/805, 390/170?

Answer: LCM of Numerators as per given numbers 42/751, 29/805, 390/170 is

LCM of Numerators i.e. for 42,29,390 is 79170

GCF of denominators i.e. for 751,805,170 is 1.

Thus, LCM of Fractions is 79170.Finally, LCM of Fractions for 42/751, 29/805, 390/170 is 79170.