Least Common Multiple of 329, 152, 414, 738

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 329, 152, 414, 738 i.e. 424417896 smallest integer divisible by all numbers.

Least common multiple (LCM) of 329, 152, 414, 738 is 424417896.

LCM(329, 152, 414, 738) = 424417896

LCM of 329, 152, 414, 738

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

LCM of:

Least Common Multiple of 329,152,414,738

Least Common Multiple (LCM) of 329,152,414,738 is 424417896

2 329, 152, 414, 738
3 329, 76, 207, 369
3 329, 76, 69, 123
329, 76, 23, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 329 x 76 x 23 x 41 = 424417896

Least Common Multiple of 329,152,414,738 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 329,152,414,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,152,414,738) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(329,152,414,738) x common factors =1 x 36 = 36

LCM(329,152,414,738) = ( 329 × 152 × 414 × 738 ) / 36

LCM(329,152,414,738) = 15279044256 / 36

LCM(329,152,414,738) = 424417896

∴ Least Common Multiple of 329,152,414,738 is 424417896

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 329, 152, 414, 738

1. What is the LCM of 329, 152, 414, 738?

Answer: LCM of 329, 152, 414, 738 is 424417896.

2. What are the Factors of 424417896?

Answer: Factors of 424417896 are . There are integers that are factors of 424417896

3. How to Find the LCM of 329, 152, 414, 738 ?

Least Common Multiple of 329, 152, 414, 738.

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(329, 152, 414, 738) = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 23 x 41 x 47 = 424417896.