Least Common Multiple of 240, 698, 988, 459, 148

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 240, 698, 988, 459, 148 i.e. 117118843920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 240, 698, 988, 459, 148 is 117118843920.

LCM(240, 698, 988, 459, 148) = 117118843920

LCM of 240, 698, 988, 459, 148

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

LCM of:

Least Common Multiple of 240,698,988,459,148

Least Common Multiple (LCM) of 240,698,988,459,148 is 117118843920

2 240, 698, 988, 459, 148
2 120, 349, 494, 459, 74
3 60, 349, 247, 459, 37
20, 349, 247, 153, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 349 x 247 x 153 x 37 = 117118843920

Least Common Multiple of 240,698,988,459,148 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 240,698,988,459,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,698,988,459,148) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(240,698,988,459,148) x common factors =1 x 96 = 96

LCM(240,698,988,459,148) = ( 240 × 698 × 988 × 459 × 148 ) / 96

LCM(240,698,988,459,148) = 11243409016320 / 96

LCM(240,698,988,459,148) = 117118843920

∴ Least Common Multiple of 240,698,988,459,148 is 117118843920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 240, 698, 988, 459, 148

1. What is the LCM of 240, 698, 988, 459, 148?

Answer: LCM of 240, 698, 988, 459, 148 is 117118843920.

2. What are the Factors of 117118843920?

Answer: Factors of 117118843920 are . There are integers that are factors of 117118843920

3. How to Find the LCM of 240, 698, 988, 459, 148 ?

Least Common Multiple of 240, 698, 988, 459, 148.

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(240, 698, 988, 459, 148) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 x 19 x 37 x 349 = 117118843920.