Least Common Multiple of 21/70, 996/40, 145/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/70, 996/40, 145/900 quickly i.e. 101094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/70, 996/40, 145/900 is 101094.

LCM(21/70, 996/40, 145/900) = 101094

LCM of 21/70, 996/40, 145/900

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 21/70,996/40,145/900

Given numbers are 21/70,996/40,145/900

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 21,996,145

Least Common Multiple of Numerators i.e. LCM of 21,996,145 is 1010940.

GCF of Denominators means GCF of 70,40,900 as per the given fractions.

GCF of 70,40,900 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,996,145

LCM of Fractions 21/70,996/40,145/900 is 101094

3 21, 996, 145
7, 332, 145

∴ So the LCM of the given numbers is 3 x 7 x 332 x 145 = 1010940

Least Common Multiple of 21,996,145 with GCF Formula

Least Common Multiple of 21,996,145 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 21,996,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,996,145) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,996,145) x common factors =1 x 3 = 3

LCM(21,996,145) = ( 21 × 996 × 145 ) / 3

LCM(21,996,145) = 3032820 / 3

LCM(21,996,145) = 1010940


Lets's calculate GCF of 70,40,900

2 70, 40, 900
5 35, 20, 450
7, 4, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1010940/10

Therefore the LCM of Fractions 21/70,996/40,145/900 is 101094

Greatest Common Factor of 70,40,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,40,900 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 70,40,900 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,900 is 10.


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 21/70, 996/40, 145/900

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 21/70, 996/40, 145/900?

Answer: LCM of Numerators as per given numbers 21/70, 996/40, 145/900 is

LCM of Numerators i.e. for 21,996,145 is 1010940

GCF of denominators i.e. for 70,40,900 is 10.

Thus, LCM of Fractions is 101094.Finally, LCM of Fractions for 21/70, 996/40, 145/900 is 101094.