Least Common Multiple of 721/70, 900/3020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 721/70, 900/3020 quickly i.e. 64890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/70, 900/3020 is 64890.

LCM(721/70, 900/3020) = 64890

LCM of 721/70, 900/3020

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 721/70,900/3020

Given numbers are 721/70,900/3020

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 721,900

Least Common Multiple of Numerators i.e. LCM of 721,900 is 648900.

GCF of Denominators means GCF of 70,3020 as per the given fractions.

GCF of 70,3020 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,900

LCM of Fractions 721/70,900/3020 is 64890

Given numbers has no common factors except 1. So, there LCM is their product i.e 648900

Least Common Multiple of 721,900 with GCF Formula

Least Common Multiple of 721,900 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 721,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,900) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(721,900) x common factors =1 x 1 = 1

LCM(721,900) = ( 721 × 900 ) / 1

LCM(721,900) = 648900 / 1

LCM(721,900) = 648900


Lets's calculate GCF of 70,3020

2 70, 3020
5 35, 1510
7, 302

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648900/10

Therefore the LCM of Fractions 721/70,900/3020 is 64890

Greatest Common Factor of 70,3020 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,3020 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 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

Greatest Common Factor

We found the factors 70,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 70,3020 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 721/70, 900/3020

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 721/70, 900/3020?

Answer: LCM of Numerators as per given numbers 721/70, 900/3020 is

LCM of Numerators i.e. for 721,900 is 648900

GCF of denominators i.e. for 70,3020 is 10.

Thus, LCM of Fractions is 64890.Finally, LCM of Fractions for 721/70, 900/3020 is 64890.