Least Common Multiple of 625/16, 765/5918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 625/16, 765/5918 quickly i.e. 95625/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/16, 765/5918 is 95625/2.

LCM(625/16, 765/5918) = 95625/2

LCM of 625/16, 765/5918

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 625/16,765/5918

Given numbers are 625/16,765/5918

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 625,765

Least Common Multiple of Numerators i.e. LCM of 625,765 is 95625.

GCF of Denominators means GCF of 16,5918 as per the given fractions.

GCF of 16,5918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,765

LCM of Fractions 625/16,765/5918 is 95625/2

5 625, 765
125, 153

∴ So the LCM of the given numbers is 5 x 125 x 153 = 95625

Least Common Multiple of 625,765 with GCF Formula

Least Common Multiple of 625,765 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 625,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,765) = 5

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

GCF(625,765) x common factors =5 x 1 = 5

LCM(625,765) = ( 625 × 765 ) / 5

LCM(625,765) = 478125 / 5

LCM(625,765) = 95625


Lets's calculate GCF of 16,5918

2 16, 5918
8, 2959

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95625/2

Therefore the LCM of Fractions 625/16,765/5918 is 95625/2

Greatest Common Factor of 16,5918 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,5918 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1,2,11,22,269,538,2959,5918

Greatest Common Factor

We found the factors 16,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5918 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 625/16, 765/5918

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 625/16, 765/5918?

Answer: LCM of Numerators as per given numbers 625/16, 765/5918 is

LCM of Numerators i.e. for 625,765 is 95625

GCF of denominators i.e. for 16,5918 is 2.

Thus, LCM of Fractions is 95625/2.Finally, LCM of Fractions for 625/16, 765/5918 is 95625/2.