Least Common Multiple of 705, 945, 464, 825

Q: How to Find the LCM of 705, 945, 464, 825 ?

Least Common Multiple of 705, 945, 464, 825 = 1133470800 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(705, 945, 464, 825) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 29 x 47 = 1133470800.

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 705, 945, 464, 825 i.e. 1133470800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 705, 945, 464, 825 is 1133470800.

LCM(705, 945, 464, 825) = 1133470800

LCM of 705, 945, 464, 825

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

Least Common Multiple of 705, 945, 464, 825 by common division method
Least Common Multiple of 705, 945, 464, 825 with GCF Formula

Least Common Multiple of 705,945,464,825

Least Common Multiple (LCM) of 705,945,464,825 is 1133470800

3	705, 945, 464, 825
5	235, 315, 464, 275
	47, 63, 464, 55

∴ So the LCM of the given numbers is 3 x 5 x 47 x 63 x 464 x 55 = 1133470800

Least Common Multiple of 705,945,464,825 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 705,945,464,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,945,464,825) = 1

common factors(in case of two or more numbers have common factors) = 225

GCF(705,945,464,825) x common factors =1 x 225 = 225

LCM(705,945,464,825) = ( 705 × 945 × 464 × 825 ) / 225

LCM(705,945,464,825) = 255030930000 / 225

LCM(705,945,464,825) = 1133470800

∴ Least Common Multiple of 705,945,464,825 is 1133470800

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 705, 945, 464, 825

1. What is the LCM of 705, 945, 464, 825?

Answer: LCM of 705, 945, 464, 825 is 1133470800.

2. What are the Factors of 1133470800?

Answer: Factors of 1133470800 are . There are integers that are factors of 1133470800

3. How to Find the LCM of 705, 945, 464, 825 ?

Least Common Multiple of 705, 945, 464, 825.

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(705, 945, 464, 825) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 29 x 47 = 1133470800.