Least Common Multiple of 869/50, 248/25, 755/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 869/50, 248/25, 755/72 quickly i.e. 162711560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/50, 248/25, 755/72 is 162711560.

LCM(869/50, 248/25, 755/72) = 162711560

LCM of 869/50, 248/25, 755/72

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 869/50,248/25,755/72

Given numbers are 869/50,248/25,755/72

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 869,248,755

Least Common Multiple of Numerators i.e. LCM of 869,248,755 is 162711560.

GCF of Denominators means GCF of 50,25,72 as per the given fractions.

GCF of 50,25,72 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,248,755

LCM of Fractions 869/50,248/25,755/72 is 162711560

Given numbers has no common factors except 1. So, there LCM is their product i.e 162711560

Least Common Multiple of 869,248,755 with GCF Formula

Least Common Multiple of 869,248,755 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 869,248,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,248,755) = 1

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

GCF(869,248,755) x common factors =1 x 1 = 1

LCM(869,248,755) = ( 869 × 248 × 755 ) / 1

LCM(869,248,755) = 162711560 / 1

LCM(869,248,755) = 162711560


Lets's calculate GCF of 50,25,72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162711560/1

Therefore the LCM of Fractions 869/50,248/25,755/72 is 162711560

Greatest Common Factor of 50,25,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,25,72 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 50,25,72 . The biggest common factor number is the GCF number.
So the greatest common factor 50,25,72 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 869/50, 248/25, 755/72

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 869/50, 248/25, 755/72?

Answer: LCM of Numerators as per given numbers 869/50, 248/25, 755/72 is

LCM of Numerators i.e. for 869,248,755 is 162711560

GCF of denominators i.e. for 50,25,72 is 1.

Thus, LCM of Fractions is 162711560.Finally, LCM of Fractions for 869/50, 248/25, 755/72 is 162711560.