Least Common Multiple of 17, 69, 45, 80, 374

Q: How to Find the LCM of 17, 69, 45, 80, 374 ?

Least Common Multiple of 17, 69, 45, 80, 374 = 3096720 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(17, 69, 45, 80, 374) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 23 = 3096720.

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 17, 69, 45, 80, 374 i.e. 3096720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 69, 45, 80, 374 is 3096720.

LCM(17, 69, 45, 80, 374) = 3096720

LCM of 17, 69, 45, 80, 374

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

Least Common Multiple of 17, 69, 45, 80, 374 by common division method
Least Common Multiple of 17, 69, 45, 80, 374 with GCF Formula

Least Common Multiple of 17,69,45,80,374

Least Common Multiple (LCM) of 17,69,45,80,374 is 3096720

2	17, 69, 45, 80, 374
3	17, 69, 45, 40, 187
5	17, 23, 15, 40, 187
17	17, 23, 3, 8, 187
	1, 23, 3, 8, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 23 x 3 x 8 x 11 = 3096720

Least Common Multiple of 17,69,45,80,374 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,69,45,80,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,69,45,80,374) = 1

common factors(in case of two or more numbers have common factors) = 510

GCF(17,69,45,80,374) x common factors =1 x 510 = 510

LCM(17,69,45,80,374) = ( 17 × 69 × 45 × 80 × 374 ) / 510

LCM(17,69,45,80,374) = 1579327200 / 510

LCM(17,69,45,80,374) = 3096720

∴ Least Common Multiple of 17,69,45,80,374 is 3096720

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 17, 69, 45, 80, 374

1. What is the LCM of 17, 69, 45, 80, 374?

Answer: LCM of 17, 69, 45, 80, 374 is 3096720.

2. What are the Factors of 3096720?

Answer: Factors of 3096720 are . There are integers that are factors of 3096720

3. How to Find the LCM of 17, 69, 45, 80, 374 ?

Least Common Multiple of 17, 69, 45, 80, 374.

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(17, 69, 45, 80, 374) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 23 = 3096720.