Least Common Multiple of 9200/622, 2905/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9200/622, 2905/988 quickly i.e. 2672600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9200/622, 2905/988 is 2672600.

LCM(9200/622, 2905/988) = 2672600

LCM of 9200/622, 2905/988

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 9200/622,2905/988

Given numbers are 9200/622,2905/988

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 9200,2905

Least Common Multiple of Numerators i.e. LCM of 9200,2905 is 5345200.

GCF of Denominators means GCF of 622,988 as per the given fractions.

GCF of 622,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9200,2905

LCM of Fractions 9200/622,2905/988 is 2672600

5 9200, 2905
1840, 581

∴ So the LCM of the given numbers is 5 x 1840 x 581 = 5345200

Least Common Multiple of 9200,2905 with GCF Formula

Least Common Multiple of 9200,2905 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 9200,2905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9200,2905) = 5

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

GCF(9200,2905) x common factors =5 x 1 = 5

LCM(9200,2905) = ( 9200 × 2905 ) / 5

LCM(9200,2905) = 26726000 / 5

LCM(9200,2905) = 5345200


Lets's calculate GCF of 622,988

2 622, 988
311, 494

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5345200/2

Therefore the LCM of Fractions 9200/622,2905/988 is 2672600

Greatest Common Factor of 622,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,988 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 622,988 . The biggest common factor number is the GCF number.
So the greatest common factor 622,988 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9200/622, 2905/988

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 9200/622, 2905/988?

Answer: LCM of Numerators as per given numbers 9200/622, 2905/988 is

LCM of Numerators i.e. for 9200,2905 is 5345200

GCF of denominators i.e. for 622,988 is 2.

Thus, LCM of Fractions is 2672600.Finally, LCM of Fractions for 9200/622, 2905/988 is 2672600.