Least Common Multiple of 7600/213, 7485/1422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7600/213, 7485/1422 quickly i.e. 3792400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7600/213, 7485/1422 is 3792400.

LCM(7600/213, 7485/1422) = 3792400

LCM of 7600/213, 7485/1422

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 7600/213,7485/1422

Given numbers are 7600/213,7485/1422

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 7600,7485

Least Common Multiple of Numerators i.e. LCM of 7600,7485 is 11377200.

GCF of Denominators means GCF of 213,1422 as per the given fractions.

GCF of 213,1422 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7600,7485

LCM of Fractions 7600/213,7485/1422 is 3792400

5 7600, 7485
1520, 1497

∴ So the LCM of the given numbers is 5 x 1520 x 1497 = 11377200

Least Common Multiple of 7600,7485 with GCF Formula

Least Common Multiple of 7600,7485 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 7600,7485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7600,7485) = 5

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

GCF(7600,7485) x common factors =5 x 1 = 5

LCM(7600,7485) = ( 7600 × 7485 ) / 5

LCM(7600,7485) = 56886000 / 5

LCM(7600,7485) = 11377200


Lets's calculate GCF of 213,1422

3 213, 1422
71, 474

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11377200/3

Therefore the LCM of Fractions 7600/213,7485/1422 is 3792400

Greatest Common Factor of 213,1422 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,1422 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 1422

List of positive integer factors of 1422 that divides 1422 without a remainder.

1,2,3,6,9,18,79,158,237,474,711,1422

Greatest Common Factor

We found the factors 213,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 213,1422 is 3.


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 7600/213, 7485/1422

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 7600/213, 7485/1422?

Answer: LCM of Numerators as per given numbers 7600/213, 7485/1422 is

LCM of Numerators i.e. for 7600,7485 is 11377200

GCF of denominators i.e. for 213,1422 is 3.

Thus, LCM of Fractions is 3792400.Finally, LCM of Fractions for 7600/213, 7485/1422 is 3792400.