Least Common Multiple of 437/143, 780/171, 116/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 437/143, 780/171, 116/514 quickly i.e. 9884940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/143, 780/171, 116/514 is 9884940.

LCM(437/143, 780/171, 116/514) = 9884940

LCM of 437/143, 780/171, 116/514

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 437/143,780/171,116/514

Given numbers are 437/143,780/171,116/514

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 437,780,116

Least Common Multiple of Numerators i.e. LCM of 437,780,116 is 9884940.

GCF of Denominators means GCF of 143,171,514 as per the given fractions.

GCF of 143,171,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,780,116

LCM of Fractions 437/143,780/171,116/514 is 9884940

2 437, 780, 116
2 437, 390, 58
437, 195, 29

∴ So the LCM of the given numbers is 2 x 2 x 437 x 195 x 29 = 9884940

Least Common Multiple of 437,780,116 with GCF Formula

Least Common Multiple of 437,780,116 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 437,780,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,780,116) = 1

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

GCF(437,780,116) x common factors =1 x 4 = 4

LCM(437,780,116) = ( 437 × 780 × 116 ) / 4

LCM(437,780,116) = 39539760 / 4

LCM(437,780,116) = 9884940


Lets's calculate GCF of 143,171,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9884940/1

Therefore the LCM of Fractions 437/143,780/171,116/514 is 9884940

Greatest Common Factor of 143,171,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,171,514 By Matching Biggest Common Factor Method

Factors of 143

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

1,11,13,143

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 143,171,514 . The biggest common factor number is the GCF number.
So the greatest common factor 143,171,514 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 437/143, 780/171, 116/514

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 437/143, 780/171, 116/514?

Answer: LCM of Numerators as per given numbers 437/143, 780/171, 116/514 is

LCM of Numerators i.e. for 437,780,116 is 9884940

GCF of denominators i.e. for 143,171,514 is 1.

Thus, LCM of Fractions is 9884940.Finally, LCM of Fractions for 437/143, 780/171, 116/514 is 9884940.