Least Common Multiple of 44/726, 15/877, 552/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/726, 15/877, 552/267 quickly i.e. 30360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/726, 15/877, 552/267 is 30360.

LCM(44/726, 15/877, 552/267) = 30360

LCM of 44/726, 15/877, 552/267

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 44/726,15/877,552/267

Given numbers are 44/726,15/877,552/267

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 44,15,552

Least Common Multiple of Numerators i.e. LCM of 44,15,552 is 30360.

GCF of Denominators means GCF of 726,877,267 as per the given fractions.

GCF of 726,877,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,15,552

LCM of Fractions 44/726,15/877,552/267 is 30360

2 44, 15, 552
2 22, 15, 276
3 11, 15, 138
11, 5, 46

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 5 x 46 = 30360

Least Common Multiple of 44,15,552 with GCF Formula

Least Common Multiple of 44,15,552 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 44,15,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,15,552) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(44,15,552) x common factors =1 x 12 = 12

LCM(44,15,552) = ( 44 × 15 × 552 ) / 12

LCM(44,15,552) = 364320 / 12

LCM(44,15,552) = 30360


Lets's calculate GCF of 726,877,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30360/1

Therefore the LCM of Fractions 44/726,15/877,552/267 is 30360

Greatest Common Factor of 726,877,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,877,267 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 726,877,267 . The biggest common factor number is the GCF number.
So the greatest common factor 726,877,267 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/726, 15/877, 552/267

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 44/726, 15/877, 552/267?

Answer: LCM of Numerators as per given numbers 44/726, 15/877, 552/267 is

LCM of Numerators i.e. for 44,15,552 is 30360

GCF of denominators i.e. for 726,877,267 is 1.

Thus, LCM of Fractions is 30360.Finally, LCM of Fractions for 44/726, 15/877, 552/267 is 30360.