Least Common Multiple of 340, 732, 192, 416

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 340, 732, 192, 416 i.e. 12941760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 340, 732, 192, 416 is 12941760.

LCM(340, 732, 192, 416) = 12941760

LCM of 340, 732, 192, 416

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

LCM of:

Least Common Multiple of 340,732,192,416

Least Common Multiple (LCM) of 340,732,192,416 is 12941760

2 340, 732, 192, 416
2 170, 366, 96, 208
2 85, 183, 48, 104
2 85, 183, 24, 52
2 85, 183, 12, 26
3 85, 183, 6, 13
85, 61, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 85 x 61 x 2 x 13 = 12941760

Least Common Multiple of 340,732,192,416 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 340,732,192,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,732,192,416) = 4

common factors(in case of two or more numbers have common factors) = 384

GCF(340,732,192,416) x common factors =4 x 384 = 1536

LCM(340,732,192,416) = ( 340 × 732 × 192 × 416 ) / 1536

LCM(340,732,192,416) = 19878543360 / 1536

LCM(340,732,192,416) = 12941760

∴ Least Common Multiple of 340,732,192,416 is 12941760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 340, 732, 192, 416

1. What is the LCM of 340, 732, 192, 416?

Answer: LCM of 340, 732, 192, 416 is 12941760.

2. What are the Factors of 12941760?

Answer: Factors of 12941760 are . There are integers that are factors of 12941760

3. How to Find the LCM of 340, 732, 192, 416 ?

Least Common Multiple of 340, 732, 192, 416.

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(340, 732, 192, 416) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 x 61 = 12941760.