Least Common Multiple of 437/19, 451/70, 115/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 437/19, 451/70, 115/36 quickly i.e. 985435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/19, 451/70, 115/36 is 985435.

LCM(437/19, 451/70, 115/36) = 985435

LCM of 437/19, 451/70, 115/36

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 437/19,451/70,115/36

Given numbers are 437/19,451/70,115/36

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 437,451,115

Least Common Multiple of Numerators i.e. LCM of 437,451,115 is 985435.

GCF of Denominators means GCF of 19,70,36 as per the given fractions.

GCF of 19,70,36 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,451,115

LCM of Fractions 437/19,451/70,115/36 is 985435

23 437, 451, 115
19, 451, 5

∴ So the LCM of the given numbers is 23 x 19 x 451 x 5 = 985435

Least Common Multiple of 437,451,115 with GCF Formula

Least Common Multiple of 437,451,115 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 437,451,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,451,115) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(437,451,115) x common factors =1 x 23 = 23

LCM(437,451,115) = ( 437 × 451 × 115 ) / 23

LCM(437,451,115) = 22665005 / 23

LCM(437,451,115) = 985435


Lets's calculate GCF of 19,70,36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 985435/1

Therefore the LCM of Fractions 437/19,451/70,115/36 is 985435

Greatest Common Factor of 19,70,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,70,36 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 19,70,36 . The biggest common factor number is the GCF number.
So the greatest common factor 19,70,36 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 437/19, 451/70, 115/36

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 437/19, 451/70, 115/36?

Answer: LCM of Numerators as per given numbers 437/19, 451/70, 115/36 is

LCM of Numerators i.e. for 437,451,115 is 985435

GCF of denominators i.e. for 19,70,36 is 1.

Thus, LCM of Fractions is 985435.Finally, LCM of Fractions for 437/19, 451/70, 115/36 is 985435.