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 336, 498, 642, 275, 319 i.e. 23797527600 smallest integer divisible by all numbers.
Least common multiple (LCM) of 336, 498, 642, 275, 319 is 23797527600.
LCM(336, 498, 642, 275, 319) = 23797527600
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 336, 498, 642, 275, 319 |
3 | 168, 249, 321, 275, 319 |
11 | 56, 83, 107, 275, 319 |
56, 83, 107, 25, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 56 x 83 x 107 x 25 x 29 = 23797527600
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 336,498,642,275,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,498,642,275,319) = 1
common factors(in case of two or more numbers have common factors) = 396
GCF(336,498,642,275,319) x common factors =1 x 396 = 396
LCM(336,498,642,275,319) = ( 336 × 498 × 642 × 275 × 319 ) / 396
LCM(336,498,642,275,319) = 9423820929600 / 396
LCM(336,498,642,275,319) = 23797527600
∴ Least Common Multiple of 336,498,642,275,319 is 23797527600
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 498, 642, 275, 319?
Answer: LCM of 336, 498, 642, 275, 319 is 23797527600.
2. What are the Factors of 23797527600?
Answer: Factors of 23797527600 are . There are integers that are factors of 23797527600
3. How to Find the LCM of 336, 498, 642, 275, 319 ?
Least Common Multiple of 336, 498, 642, 275, 319.
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(336, 498, 642, 275, 319) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 29 x 83 x 107 = 23797527600.