Least Common Multiple of 312, 196, 494, 709, 342

Q: How to Find the LCM of 312, 196, 494, 709, 342 ?

Least Common Multiple of 312, 196, 494, 709, 342 = 617833944 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(312, 196, 494, 709, 342) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 19 x 709 = 617833944.

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 312, 196, 494, 709, 342 i.e. 617833944 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 196, 494, 709, 342 is 617833944.

LCM(312, 196, 494, 709, 342) = 617833944

LCM of 312, 196, 494, 709, 342

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

Least Common Multiple of 312, 196, 494, 709, 342 by common division method
Least Common Multiple of 312, 196, 494, 709, 342 with GCF Formula

Least Common Multiple of 312,196,494,709,342

Least Common Multiple (LCM) of 312,196,494,709,342 is 617833944

2	312, 196, 494, 709, 342
2	156, 98, 247, 709, 171
3	78, 49, 247, 709, 171
13	26, 49, 247, 709, 57
19	2, 49, 19, 709, 57
	2, 49, 1, 709, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 19 x 2 x 49 x 1 x 709 x 3 = 617833944

Least Common Multiple of 312,196,494,709,342 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 312,196,494,709,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,196,494,709,342) = 1

common factors(in case of two or more numbers have common factors) = 11856

GCF(312,196,494,709,342) x common factors =1 x 11856 = 11856

LCM(312,196,494,709,342) = ( 312 × 196 × 494 × 709 × 342 ) / 11856

LCM(312,196,494,709,342) = 7325039240064 / 11856

LCM(312,196,494,709,342) = 617833944

∴ Least Common Multiple of 312,196,494,709,342 is 617833944

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 312, 196, 494, 709, 342

1. What is the LCM of 312, 196, 494, 709, 342?

Answer: LCM of 312, 196, 494, 709, 342 is 617833944.

2. What are the Factors of 617833944?

Answer: Factors of 617833944 are . There are integers that are factors of 617833944

3. How to Find the LCM of 312, 196, 494, 709, 342 ?

Least Common Multiple of 312, 196, 494, 709, 342.

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(312, 196, 494, 709, 342) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 19 x 709 = 617833944.