Least Common Multiple of 38, 14, 465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 38, 14, 465 i.e. 123690 smallest integer divisible by all numbers.

Least common multiple (LCM) of 38, 14, 465 is 123690.

LCM(38, 14, 465) = 123690

LCM of 38, 14, 465

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 38,14,465

Least Common Multiple (LCM) of 38,14,465 is 123690

2 38, 14, 465
19, 7, 465

∴ So the LCM of the given numbers is 2 x 19 x 7 x 465 = 123690

Least Common Multiple of 38,14,465 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 38,14,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,14,465) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,14,465) x common factors =1 x 2 = 2

LCM(38,14,465) = ( 38 × 14 × 465 ) / 2

LCM(38,14,465) = 247380 / 2

LCM(38,14,465) = 123690

∴ Least Common Multiple of 38,14,465 is 123690

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 38, 14, 465

1. What is the LCM of 38, 14, 465?

Answer: LCM of 38, 14, 465 is 123690.

2. What are the Factors of 123690?

Answer: Factors of 123690 are . There are integers that are factors of 123690

3. How to Find the LCM of 38, 14, 465 ?

Least Common Multiple of 38, 14, 465.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(38, 14, 465) = 2 x 3 x 5 x 7 x 19 x 31 = 123690.