Least Common Multiple of 10, 45, 405, 914

Q: How to Find the LCM of 10, 45, 405, 914 ?

Least Common Multiple of 10, 45, 405, 914 = 370170 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(10, 45, 405, 914) = 2 x 3 x 3 x 3 x 3 x 5 x 457 = 370170.

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 10, 45, 405, 914 i.e. 370170 smallest integer divisible by all numbers.

Least common multiple (LCM) of 10, 45, 405, 914 is 370170.

LCM(10, 45, 405, 914) = 370170

LCM of 10, 45, 405, 914

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

Least Common Multiple of 10, 45, 405, 914 by common division method
Least Common Multiple of 10, 45, 405, 914 with GCF Formula

Least Common Multiple of 10,45,405,914

Least Common Multiple (LCM) of 10,45,405,914 is 370170

2	10, 45, 405, 914
3	5, 45, 405, 457
3	5, 15, 135, 457
5	5, 5, 45, 457
	1, 1, 9, 457

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 9 x 457 = 370170

Least Common Multiple of 10,45,405,914 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 10,45,405,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,45,405,914) = 1

common factors(in case of two or more numbers have common factors) = 450

GCF(10,45,405,914) x common factors =1 x 450 = 450

LCM(10,45,405,914) = ( 10 × 45 × 405 × 914 ) / 450

LCM(10,45,405,914) = 166576500 / 450

LCM(10,45,405,914) = 370170

∴ Least Common Multiple of 10,45,405,914 is 370170

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 10, 45, 405, 914

1. What is the LCM of 10, 45, 405, 914?

Answer: LCM of 10, 45, 405, 914 is 370170.

2. What are the Factors of 370170?

Answer: Factors of 370170 are . There are integers that are factors of 370170

3. How to Find the LCM of 10, 45, 405, 914 ?

Least Common Multiple of 10, 45, 405, 914.

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(10, 45, 405, 914) = 2 x 3 x 3 x 3 x 3 x 5 x 457 = 370170.