Least Common Multiple of 398, 874, 664, 138, 741

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 398, 874, 664, 138, 741 i.e. 2251993848 smallest integer divisible by all numbers.

Least common multiple (LCM) of 398, 874, 664, 138, 741 is 2251993848.

LCM(398, 874, 664, 138, 741) = 2251993848

LCM of 398, 874, 664, 138, 741

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

LCM of:

Least Common Multiple of 398,874,664,138,741

Least Common Multiple (LCM) of 398,874,664,138,741 is 2251993848

2 398, 874, 664, 138, 741
3 199, 437, 332, 69, 741
19 199, 437, 332, 23, 247
23 199, 23, 332, 23, 13
199, 1, 332, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 19 x 23 x 199 x 1 x 332 x 1 x 13 = 2251993848

Least Common Multiple of 398,874,664,138,741 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 398,874,664,138,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,874,664,138,741) = 1

common factors(in case of two or more numbers have common factors) = 10488

GCF(398,874,664,138,741) x common factors =1 x 10488 = 10488

LCM(398,874,664,138,741) = ( 398 × 874 × 664 × 138 × 741 ) / 10488

LCM(398,874,664,138,741) = 23618911477824 / 10488

LCM(398,874,664,138,741) = 2251993848

∴ Least Common Multiple of 398,874,664,138,741 is 2251993848

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 398, 874, 664, 138, 741

1. What is the LCM of 398, 874, 664, 138, 741?

Answer: LCM of 398, 874, 664, 138, 741 is 2251993848.

2. What are the Factors of 2251993848?

Answer: Factors of 2251993848 are . There are integers that are factors of 2251993848

3. How to Find the LCM of 398, 874, 664, 138, 741 ?

Least Common Multiple of 398, 874, 664, 138, 741.

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(398, 874, 664, 138, 741) = 2 x 2 x 2 x 3 x 13 x 19 x 23 x 83 x 199 = 2251993848.