Least Common Multiple of 17, 70, 23, 340

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 17, 70, 23, 340 i.e. 54740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 70, 23, 340 is 54740.

LCM(17, 70, 23, 340) = 54740

LCM of 17, 70, 23, 340

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

LCM of:

Least Common Multiple of 17,70,23,340

Least Common Multiple (LCM) of 17,70,23,340 is 54740

2 17, 70, 23, 340
5 17, 35, 23, 170
17 17, 7, 23, 34
1, 7, 23, 2

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 7 x 23 x 2 = 54740

Least Common Multiple of 17,70,23,340 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,70,23,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,70,23,340) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(17,70,23,340) x common factors =1 x 170 = 170

LCM(17,70,23,340) = ( 17 × 70 × 23 × 340 ) / 170

LCM(17,70,23,340) = 9305800 / 170

LCM(17,70,23,340) = 54740

∴ Least Common Multiple of 17,70,23,340 is 54740

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 17, 70, 23, 340

1. What is the LCM of 17, 70, 23, 340?

Answer: LCM of 17, 70, 23, 340 is 54740.

2. What are the Factors of 54740?

Answer: Factors of 54740 are . There are integers that are factors of 54740

3. How to Find the LCM of 17, 70, 23, 340 ?

Least Common Multiple of 17, 70, 23, 340.

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(17, 70, 23, 340) = 2 x 2 x 5 x 7 x 17 x 23 = 54740.