Least Common Multiple of 887/80, 152/38, 444/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 887/80, 152/38, 444/143 quickly i.e. 14965464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 887/80, 152/38, 444/143 is 14965464.

LCM(887/80, 152/38, 444/143) = 14965464

LCM of 887/80, 152/38, 444/143

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 887/80,152/38,444/143

Given numbers are 887/80,152/38,444/143

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 887,152,444

Least Common Multiple of Numerators i.e. LCM of 887,152,444 is 14965464.

GCF of Denominators means GCF of 80,38,143 as per the given fractions.

GCF of 80,38,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 887,152,444

LCM of Fractions 887/80,152/38,444/143 is 14965464

2 887, 152, 444
2 887, 76, 222
887, 38, 111

∴ So the LCM of the given numbers is 2 x 2 x 887 x 38 x 111 = 14965464

Least Common Multiple of 887,152,444 with GCF Formula

Least Common Multiple of 887,152,444 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 887,152,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(887,152,444) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(887,152,444) x common factors =1 x 4 = 4

LCM(887,152,444) = ( 887 × 152 × 444 ) / 4

LCM(887,152,444) = 59861856 / 4

LCM(887,152,444) = 14965464


Lets's calculate GCF of 80,38,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14965464/1

Therefore the LCM of Fractions 887/80,152/38,444/143 is 14965464

Greatest Common Factor of 80,38,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,38,143 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 80,38,143 . The biggest common factor number is the GCF number.
So the greatest common factor 80,38,143 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 887/80, 152/38, 444/143

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 887/80, 152/38, 444/143?

Answer: LCM of Numerators as per given numbers 887/80, 152/38, 444/143 is

LCM of Numerators i.e. for 887,152,444 is 14965464

GCF of denominators i.e. for 80,38,143 is 1.

Thus, LCM of Fractions is 14965464.Finally, LCM of Fractions for 887/80, 152/38, 444/143 is 14965464.