Least Common Multiple of 45, 46, 68, 867

Q: How to Find the LCM of 45, 46, 68, 867 ?

Least Common Multiple of 45, 46, 68, 867 = 1196460 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(45, 46, 68, 867) = 2 x 2 x 3 x 3 x 5 x 17 x 17 x 23 = 1196460.

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 45, 46, 68, 867 i.e. 1196460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 46, 68, 867 is 1196460.

LCM(45, 46, 68, 867) = 1196460

LCM of 45, 46, 68, 867

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

Least Common Multiple of 45, 46, 68, 867 by common division method
Least Common Multiple of 45, 46, 68, 867 with GCF Formula

Least Common Multiple of 45,46,68,867

Least Common Multiple (LCM) of 45,46,68,867 is 1196460

2	45, 46, 68, 867
3	45, 23, 34, 867
17	15, 23, 34, 289
	15, 23, 2, 17

∴ So the LCM of the given numbers is 2 x 3 x 17 x 15 x 23 x 2 x 17 = 1196460

Least Common Multiple of 45,46,68,867 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 45,46,68,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,46,68,867) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(45,46,68,867) x common factors =1 x 102 = 102

LCM(45,46,68,867) = ( 45 × 46 × 68 × 867 ) / 102

LCM(45,46,68,867) = 122038920 / 102

LCM(45,46,68,867) = 1196460

∴ Least Common Multiple of 45,46,68,867 is 1196460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 45, 46, 68, 867

1. What is the LCM of 45, 46, 68, 867?

Answer: LCM of 45, 46, 68, 867 is 1196460.

2. What are the Factors of 1196460?

Answer: Factors of 1196460 are . There are integers that are factors of 1196460

3. How to Find the LCM of 45, 46, 68, 867 ?

Least Common Multiple of 45, 46, 68, 867.

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(45, 46, 68, 867) = 2 x 2 x 3 x 3 x 5 x 17 x 17 x 23 = 1196460.