Least Common Multiple of 9440/468, 2545/8022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9440/468, 2545/8022 quickly i.e. 4804960/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9440/468, 2545/8022 is 4804960/6.

LCM(9440/468, 2545/8022) = 4804960/6

LCM of 9440/468, 2545/8022

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 9440/468,2545/8022

Given numbers are 9440/468,2545/8022

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 9440,2545

Least Common Multiple of Numerators i.e. LCM of 9440,2545 is 4804960.

GCF of Denominators means GCF of 468,8022 as per the given fractions.

GCF of 468,8022 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9440,2545

LCM of Fractions 9440/468,2545/8022 is 4804960/6

5 9440, 2545
1888, 509

∴ So the LCM of the given numbers is 5 x 1888 x 509 = 4804960

Least Common Multiple of 9440,2545 with GCF Formula

Least Common Multiple of 9440,2545 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 9440,2545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9440,2545) = 5

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

GCF(9440,2545) x common factors =5 x 1 = 5

LCM(9440,2545) = ( 9440 × 2545 ) / 5

LCM(9440,2545) = 24024800 / 5

LCM(9440,2545) = 4804960


Lets's calculate GCF of 468,8022

2 468, 8022
3 234, 4011
78, 1337

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4804960/6

Therefore the LCM of Fractions 9440/468,2545/8022 is 4804960/6

Greatest Common Factor of 468,8022 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,8022 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors 468,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8022 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9440/468, 2545/8022

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 9440/468, 2545/8022?

Answer: LCM of Numerators as per given numbers 9440/468, 2545/8022 is

LCM of Numerators i.e. for 9440,2545 is 4804960

GCF of denominators i.e. for 468,8022 is 6.

Thus, LCM of Fractions is 4804960/6.Finally, LCM of Fractions for 9440/468, 2545/8022 is 4804960/6.