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 43, 68, 64, 704 i.e. 514624 smallest integer divisible by all numbers.
Least common multiple (LCM) of 43, 68, 64, 704 is 514624.
LCM(43, 68, 64, 704) = 514624
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 43, 68, 64, 704 |
2 | 43, 34, 32, 352 |
2 | 43, 17, 16, 176 |
2 | 43, 17, 8, 88 |
2 | 43, 17, 4, 44 |
2 | 43, 17, 2, 22 |
43, 17, 1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 43 x 17 x 1 x 11 = 514624
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 43,68,64,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,68,64,704) = 1
common factors(in case of two or more numbers have common factors) = 256
GCF(43,68,64,704) x common factors =1 x 256 = 256
LCM(43,68,64,704) = ( 43 × 68 × 64 × 704 ) / 256
LCM(43,68,64,704) = 131743744 / 256
LCM(43,68,64,704) = 514624
∴ Least Common Multiple of 43,68,64,704 is 514624
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 43, 68, 64, 704?
Answer: LCM of 43, 68, 64, 704 is 514624.
2. What are the Factors of 514624?
Answer: Factors of 514624 are . There are integers that are factors of 514624
3. How to Find the LCM of 43, 68, 64, 704 ?
Least Common Multiple of 43, 68, 64, 704.
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(43, 68, 64, 704) = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 43 = 514624.