Least Common Multiple of 7522/705, 2250/9940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7522/705, 2250/9940 quickly i.e. 1692450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7522/705, 2250/9940 is 1692450.

LCM(7522/705, 2250/9940) = 1692450

LCM of 7522/705, 2250/9940

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 7522/705,2250/9940

Given numbers are 7522/705,2250/9940

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 7522,2250

Least Common Multiple of Numerators i.e. LCM of 7522,2250 is 8462250.

GCF of Denominators means GCF of 705,9940 as per the given fractions.

GCF of 705,9940 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7522,2250

LCM of Fractions 7522/705,2250/9940 is 1692450

2 7522, 2250
3761, 1125

∴ So the LCM of the given numbers is 2 x 3761 x 1125 = 8462250

Least Common Multiple of 7522,2250 with GCF Formula

Least Common Multiple of 7522,2250 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 7522,2250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7522,2250) = 2

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

GCF(7522,2250) x common factors =2 x 1 = 2

LCM(7522,2250) = ( 7522 × 2250 ) / 2

LCM(7522,2250) = 16924500 / 2

LCM(7522,2250) = 8462250


Lets's calculate GCF of 705,9940

5 705, 9940
141, 1988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8462250/5

Therefore the LCM of Fractions 7522/705,2250/9940 is 1692450

Greatest Common Factor of 705,9940 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,9940 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940

Greatest Common Factor

We found the factors 705,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 705,9940 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 7522/705, 2250/9940

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 7522/705, 2250/9940?

Answer: LCM of Numerators as per given numbers 7522/705, 2250/9940 is

LCM of Numerators i.e. for 7522,2250 is 8462250

GCF of denominators i.e. for 705,9940 is 5.

Thus, LCM of Fractions is 1692450.Finally, LCM of Fractions for 7522/705, 2250/9940 is 1692450.