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Least Common Multiple of 59/80, 21/14, 63/51, 25/908

Know Least Common Multiple of fractions 59/80, 21/14, 63/51, 25/908 quickly i.e. 92925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/80, 21/14, 63/51, 25/908 is 92925.

LCM(59/80, 21/14, 63/51, 25/908) = 92925

LCM of 59/80, 21/14, 63/51, 25/908

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 59/80,21/14,63/51,25/908

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 59,21,63,25

Least Common Multiple of Numerators i.e. LCM of 59,21,63,25 is 92925.

GCF of Denominators means GCF of 80,14,51,908 as per the given fractions.

GCF of 80,14,51,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,21,63,25

Least Common Multiple (LCM) of 59,21,63,25 By Common Division

3 59, 21, 63, 25
7 59, 7, 21, 25
59, 1, 3, 25

∴ So the LCM of the given numbers is 3 x 7 x 59 x 1 x 3 x 25 = 92925

Least Common Multiple of 59,21,63,25 with GCF Formula

Least Common Multiple of 59,21,63,25 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 59,21,63,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,21,63,25) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(59,21,63,25) x common factors =1 x 21 = 21

LCM(59,21,63,25) = ( 59 × 21 × 63 × 25 ) / 21

LCM(59,21,63,25) = 1951425 / 21

LCM(59,21,63,25) = 92925


Lets's calculate GCF of 80,14,51,908

Greatest Common Factor (GCF) of 80,14,51,908 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92925/1

Therefore the LCM of Fractions 59/80,21/14,63/51,25/908 is 92925

Greatest Common Factor of 80,14,51,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,14,51,908 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 80,14,51,908 . The biggest common factor number is the GCF number.
So the greatest common factor 80,14,51,908 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/80, 21/14, 63/51, 25/908

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 59/80, 21/14, 63/51, 25/908?

Answer: LCM of Numerators as per given numbers 59/80, 21/14, 63/51, 25/908 is

LCM of Numerators i.e. for 59,21,63,25 is 92925

GCF of denominators i.e. for 80,14,51,908 is 1.

Thus, LCM of Fractions is 92925.Finally, LCM of Fractions for 59/80, 21/14, 63/51, 25/908 is 92925.