Least Common Multiple of 300/70, 654/35, 283/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/70, 654/35, 283/355 quickly i.e. 1850820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/70, 654/35, 283/355 is 1850820.

LCM(300/70, 654/35, 283/355) = 1850820

LCM of 300/70, 654/35, 283/355

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 300/70,654/35,283/355

Given numbers are 300/70,654/35,283/355

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 300,654,283

Least Common Multiple of Numerators i.e. LCM of 300,654,283 is 9254100.

GCF of Denominators means GCF of 70,35,355 as per the given fractions.

GCF of 70,35,355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,654,283

LCM of Fractions 300/70,654/35,283/355 is 1850820

2 300, 654, 283
3 150, 327, 283
50, 109, 283

∴ So the LCM of the given numbers is 2 x 3 x 50 x 109 x 283 = 9254100

Least Common Multiple of 300,654,283 with GCF Formula

Least Common Multiple of 300,654,283 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 300,654,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,654,283) = 1

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

GCF(300,654,283) x common factors =1 x 6 = 6

LCM(300,654,283) = ( 300 × 654 × 283 ) / 6

LCM(300,654,283) = 55524600 / 6

LCM(300,654,283) = 9254100


Lets's calculate GCF of 70,35,355

5 70, 35, 355
14, 7, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9254100/5

Therefore the LCM of Fractions 300/70,654/35,283/355 is 1850820

Greatest Common Factor of 70,35,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,35,355 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 70,35,355 . The biggest common factor number is the GCF number.
So the greatest common factor 70,35,355 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 300/70, 654/35, 283/355

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 300/70, 654/35, 283/355?

Answer: LCM of Numerators as per given numbers 300/70, 654/35, 283/355 is

LCM of Numerators i.e. for 300,654,283 is 9254100

GCF of denominators i.e. for 70,35,355 is 5.

Thus, LCM of Fractions is 1850820.Finally, LCM of Fractions for 300/70, 654/35, 283/355 is 1850820.