Least Common Multiple of 1012/21, 8480/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1012/21, 8480/412 quickly i.e. 2145440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1012/21, 8480/412 is 2145440.

LCM(1012/21, 8480/412) = 2145440

LCM of 1012/21, 8480/412

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 1012/21,8480/412

Given numbers are 1012/21,8480/412

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 1012,8480

Least Common Multiple of Numerators i.e. LCM of 1012,8480 is 2145440.

GCF of Denominators means GCF of 21,412 as per the given fractions.

GCF of 21,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1012,8480

LCM of Fractions 1012/21,8480/412 is 2145440

2 1012, 8480
2 506, 4240
253, 2120

∴ So the LCM of the given numbers is 2 x 2 x 253 x 2120 = 2145440

Least Common Multiple of 1012,8480 with GCF Formula

Least Common Multiple of 1012,8480 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 1012,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1012,8480) = 4

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

GCF(1012,8480) x common factors =4 x 1 = 4

LCM(1012,8480) = ( 1012 × 8480 ) / 4

LCM(1012,8480) = 8581760 / 4

LCM(1012,8480) = 2145440


Lets's calculate GCF of 21,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2145440/1

Therefore the LCM of Fractions 1012/21,8480/412 is 2145440

Greatest Common Factor of 21,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,412 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 21,412 . The biggest common factor number is the GCF number.
So the greatest common factor 21,412 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 1012/21, 8480/412

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 1012/21, 8480/412?

Answer: LCM of Numerators as per given numbers 1012/21, 8480/412 is

LCM of Numerators i.e. for 1012,8480 is 2145440

GCF of denominators i.e. for 21,412 is 1.

Thus, LCM of Fractions is 2145440.Finally, LCM of Fractions for 1012/21, 8480/412 is 2145440.