Least Common Multiple of 98, 18, 84, 288

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 98, 18, 84, 288 i.e. 14112 smallest integer divisible by all numbers.

Least common multiple (LCM) of 98, 18, 84, 288 is 14112.

LCM(98, 18, 84, 288) = 14112

LCM of 98, 18, 84, 288

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

LCM of:

Least Common Multiple of 98,18,84,288

Least Common Multiple (LCM) of 98,18,84,288 is 14112

2 98, 18, 84, 288
2 49, 9, 42, 144
3 49, 9, 21, 72
3 49, 3, 7, 24
7 49, 1, 7, 8
1, 1, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 1 x 7 x 8 = 14112

Least Common Multiple of 98,18,84,288 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 98,18,84,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,18,84,288) = 2

common factors(in case of two or more numbers have common factors) = 1512

GCF(98,18,84,288) x common factors =2 x 1512 = 3024

LCM(98,18,84,288) = ( 98 × 18 × 84 × 288 ) / 3024

LCM(98,18,84,288) = 42674688 / 3024

LCM(98,18,84,288) = 14112

∴ Least Common Multiple of 98,18,84,288 is 14112

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 98, 18, 84, 288

1. What is the LCM of 98, 18, 84, 288?

Answer: LCM of 98, 18, 84, 288 is 14112.

2. What are the Factors of 14112?

Answer: Factors of 14112 are . There are integers that are factors of 14112

3. How to Find the LCM of 98, 18, 84, 288 ?

Least Common Multiple of 98, 18, 84, 288.

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(98, 18, 84, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 14112.