Least Common Multiple of 6260/891, 1462/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6260/891, 1462/549 quickly i.e. 4576060/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6260/891, 1462/549 is 4576060/9.

LCM(6260/891, 1462/549) = 4576060/9

LCM of 6260/891, 1462/549

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 6260/891,1462/549

Given numbers are 6260/891,1462/549

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 6260,1462

Least Common Multiple of Numerators i.e. LCM of 6260,1462 is 4576060.

GCF of Denominators means GCF of 891,549 as per the given fractions.

GCF of 891,549 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6260,1462

LCM of Fractions 6260/891,1462/549 is 4576060/9

2 6260, 1462
3130, 731

∴ So the LCM of the given numbers is 2 x 3130 x 731 = 4576060

Least Common Multiple of 6260,1462 with GCF Formula

Least Common Multiple of 6260,1462 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 6260,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6260,1462) = 2

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

GCF(6260,1462) x common factors =2 x 1 = 2

LCM(6260,1462) = ( 6260 × 1462 ) / 2

LCM(6260,1462) = 9152120 / 2

LCM(6260,1462) = 4576060


Lets's calculate GCF of 891,549

3 891, 549
3 297, 183
99, 61

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4576060/9

Therefore the LCM of Fractions 6260/891,1462/549 is 4576060/9

Greatest Common Factor of 891,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,549 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 891,549 . The biggest common factor number is the GCF number.
So the greatest common factor 891,549 is 9.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6260/891, 1462/549

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 6260/891, 1462/549?

Answer: LCM of Numerators as per given numbers 6260/891, 1462/549 is

LCM of Numerators i.e. for 6260,1462 is 4576060

GCF of denominators i.e. for 891,549 is 9.

Thus, LCM of Fractions is 4576060/9.Finally, LCM of Fractions for 6260/891, 1462/549 is 4576060/9.