Least Common Multiple of 35/150, 283/335, 785/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/150, 283/335, 785/435 quickly i.e. 311017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/150, 283/335, 785/435 is 311017.

LCM(35/150, 283/335, 785/435) = 311017

LCM of 35/150, 283/335, 785/435

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 35/150,283/335,785/435

Given numbers are 35/150,283/335,785/435

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 35,283,785

Least Common Multiple of Numerators i.e. LCM of 35,283,785 is 1555085.

GCF of Denominators means GCF of 150,335,435 as per the given fractions.

GCF of 150,335,435 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,283,785

LCM of Fractions 35/150,283/335,785/435 is 311017

5 35, 283, 785
7, 283, 157

∴ So the LCM of the given numbers is 5 x 7 x 283 x 157 = 1555085

Least Common Multiple of 35,283,785 with GCF Formula

Least Common Multiple of 35,283,785 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 35,283,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,283,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,283,785) x common factors =1 x 5 = 5

LCM(35,283,785) = ( 35 × 283 × 785 ) / 5

LCM(35,283,785) = 7775425 / 5

LCM(35,283,785) = 1555085


Lets's calculate GCF of 150,335,435

5 150, 335, 435
30, 67, 87

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1555085/5

Therefore the LCM of Fractions 35/150,283/335,785/435 is 311017

Greatest Common Factor of 150,335,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,335,435 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 150,335,435 . The biggest common factor number is the GCF number.
So the greatest common factor 150,335,435 is 5.


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 35/150, 283/335, 785/435

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 35/150, 283/335, 785/435?

Answer: LCM of Numerators as per given numbers 35/150, 283/335, 785/435 is

LCM of Numerators i.e. for 35,283,785 is 1555085

GCF of denominators i.e. for 150,335,435 is 5.

Thus, LCM of Fractions is 311017.Finally, LCM of Fractions for 35/150, 283/335, 785/435 is 311017.