Least Common Multiple of 704, 1972

Q: How to Find the LCM of 704, 1972 ?

Least Common Multiple of 704, 1972 = 347072 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(704, 1972) = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 29 = 347072.

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 704, 1972 i.e. 347072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 704, 1972 is 347072.

LCM(704, 1972) = 347072

LCM of 704, 1972

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

Least Common Multiple of 704, 1972 by common division method
Least Common Multiple of 704, 1972 with GCF Formula

Least Common Multiple of 704,1972

Least Common Multiple (LCM) of 704,1972 is 347072

2	704, 1972
2	352, 986
	176, 493

∴ So the LCM of the given numbers is 2 x 2 x 176 x 493 = 347072

Least Common Multiple of 704,1972 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 704,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,1972) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(704,1972) x common factors =4 x 1 = 4

LCM(704,1972) = ( 704 × 1972 ) / 4

LCM(704,1972) = 1388288 / 4

LCM(704,1972) = 347072

∴ Least Common Multiple of 704,1972 is 347072

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 704, 1972

1. What is the LCM of 704, 1972?

Answer: LCM of 704, 1972 is 347072.

2. What are the Factors of 347072?

Answer: Factors of 347072 are . There are integers that are factors of 347072

3. How to Find the LCM of 704, 1972 ?

Least Common Multiple of 704, 1972.

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(704, 1972) = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 29 = 347072.