Least Common Multiple of 7418/260, 3050/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7418/260, 3050/449 quickly i.e. 11312450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7418/260, 3050/449 is 11312450.

LCM(7418/260, 3050/449) = 11312450

LCM of 7418/260, 3050/449

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 7418/260,3050/449

Given numbers are 7418/260,3050/449

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 7418,3050

Least Common Multiple of Numerators i.e. LCM of 7418,3050 is 11312450.

GCF of Denominators means GCF of 260,449 as per the given fractions.

GCF of 260,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7418,3050

LCM of Fractions 7418/260,3050/449 is 11312450

2 7418, 3050
3709, 1525

∴ So the LCM of the given numbers is 2 x 3709 x 1525 = 11312450

Least Common Multiple of 7418,3050 with GCF Formula

Least Common Multiple of 7418,3050 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 7418,3050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7418,3050) = 2

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

GCF(7418,3050) x common factors =2 x 1 = 2

LCM(7418,3050) = ( 7418 × 3050 ) / 2

LCM(7418,3050) = 22624900 / 2

LCM(7418,3050) = 11312450


Lets's calculate GCF of 260,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11312450/1

Therefore the LCM of Fractions 7418/260,3050/449 is 11312450

Greatest Common Factor of 260,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,449 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 260,449 . The biggest common factor number is the GCF number.
So the greatest common factor 260,449 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7418/260, 3050/449

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 7418/260, 3050/449?

Answer: LCM of Numerators as per given numbers 7418/260, 3050/449 is

LCM of Numerators i.e. for 7418,3050 is 11312450

GCF of denominators i.e. for 260,449 is 1.

Thus, LCM of Fractions is 11312450.Finally, LCM of Fractions for 7418/260, 3050/449 is 11312450.