Least Common Multiple of 90/20, 90/376, 437/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/20, 90/376, 437/850 quickly i.e. 19665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/20, 90/376, 437/850 is 19665.

LCM(90/20, 90/376, 437/850) = 19665

LCM of 90/20, 90/376, 437/850

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 90/20,90/376,437/850

Given numbers are 90/20,90/376,437/850

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 90,90,437

Least Common Multiple of Numerators i.e. LCM of 90,90,437 is 39330.

GCF of Denominators means GCF of 20,376,850 as per the given fractions.

GCF of 20,376,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,90,437

LCM of Fractions 90/20,90/376,437/850 is 19665

2 90, 90, 437
3 45, 45, 437
3 15, 15, 437
5 5, 5, 437
1, 1, 437

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 437 = 39330

Least Common Multiple of 90,90,437 with GCF Formula

Least Common Multiple of 90,90,437 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 90,90,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,90,437) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(90,90,437) x common factors =1 x 90 = 90

LCM(90,90,437) = ( 90 × 90 × 437 ) / 90

LCM(90,90,437) = 3539700 / 90

LCM(90,90,437) = 39330


Lets's calculate GCF of 20,376,850

2 20, 376, 850
10, 188, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39330/2

Therefore the LCM of Fractions 90/20,90/376,437/850 is 19665

Greatest Common Factor of 20,376,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,376,850 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 20,376,850 . The biggest common factor number is the GCF number.
So the greatest common factor 20,376,850 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/20, 90/376, 437/850

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 90/20, 90/376, 437/850?

Answer: LCM of Numerators as per given numbers 90/20, 90/376, 437/850 is

LCM of Numerators i.e. for 90,90,437 is 39330

GCF of denominators i.e. for 20,376,850 is 2.

Thus, LCM of Fractions is 19665.Finally, LCM of Fractions for 90/20, 90/376, 437/850 is 19665.