Least Common Multiple of 35/350, 453/50, 300/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/350, 453/50, 300/901 quickly i.e. 317100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/350, 453/50, 300/901 is 317100.

LCM(35/350, 453/50, 300/901) = 317100

LCM of 35/350, 453/50, 300/901

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 35/350,453/50,300/901

Given numbers are 35/350,453/50,300/901

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 35,453,300

Least Common Multiple of Numerators i.e. LCM of 35,453,300 is 317100.

GCF of Denominators means GCF of 350,50,901 as per the given fractions.

GCF of 350,50,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,453,300

LCM of Fractions 35/350,453/50,300/901 is 317100

3 35, 453, 300
5 35, 151, 100
7, 151, 20

∴ So the LCM of the given numbers is 3 x 5 x 7 x 151 x 20 = 317100

Least Common Multiple of 35,453,300 with GCF Formula

Least Common Multiple of 35,453,300 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 35,453,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,453,300) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(35,453,300) x common factors =1 x 15 = 15

LCM(35,453,300) = ( 35 × 453 × 300 ) / 15

LCM(35,453,300) = 4756500 / 15

LCM(35,453,300) = 317100


Lets's calculate GCF of 350,50,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317100/1

Therefore the LCM of Fractions 35/350,453/50,300/901 is 317100

Greatest Common Factor of 350,50,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,50,901 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 350,50,901 . The biggest common factor number is the GCF number.
So the greatest common factor 350,50,901 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 35/350, 453/50, 300/901

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 35/350, 453/50, 300/901?

Answer: LCM of Numerators as per given numbers 35/350, 453/50, 300/901 is

LCM of Numerators i.e. for 35,453,300 is 317100

GCF of denominators i.e. for 350,50,901 is 1.

Thus, LCM of Fractions is 317100.Finally, LCM of Fractions for 35/350, 453/50, 300/901 is 317100.