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, 708, 590 i.e. 704460 smallest integer divisible by all numbers.
Least common multiple (LCM) of 398, 708, 590 is 704460.
LCM(398, 708, 590) = 704460
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 398, 708, 590 |
59 | 199, 354, 295 |
199, 6, 5 |
∴ So the LCM of the given numbers is 2 x 59 x 199 x 6 x 5 = 704460
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 398,708,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,708,590) = 2
common factors(in case of two or more numbers have common factors) = 118
GCF(398,708,590) x common factors =2 x 118 = 236
LCM(398,708,590) = ( 398 × 708 × 590 ) / 236
LCM(398,708,590) = 166252560 / 236
LCM(398,708,590) = 704460
∴ Least Common Multiple of 398,708,590 is 704460
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 708, 590?
Answer: LCM of 398, 708, 590 is 704460.
2. What are the Factors of 704460?
Answer: Factors of 704460 are . There are integers that are factors of 704460
3. How to Find the LCM of 398, 708, 590 ?
Least Common Multiple of 398, 708, 590.
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, 708, 590) = 2 x 2 x 3 x 5 x 59 x 199 = 704460.