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 768, 189, 107, 128, 438 i.e. 377927424 smallest integer divisible by all numbers.
Least common multiple (LCM) of 768, 189, 107, 128, 438 is 377927424.
LCM(768, 189, 107, 128, 438) = 377927424
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 768, 189, 107, 128, 438 |
2 | 384, 189, 107, 64, 219 |
2 | 192, 189, 107, 32, 219 |
2 | 96, 189, 107, 16, 219 |
2 | 48, 189, 107, 8, 219 |
2 | 24, 189, 107, 4, 219 |
2 | 12, 189, 107, 2, 219 |
3 | 6, 189, 107, 1, 219 |
2, 63, 107, 1, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2 x 63 x 107 x 1 x 73 = 377927424
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 768,189,107,128,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,189,107,128,438) = 1
common factors(in case of two or more numbers have common factors) = 2304
GCF(768,189,107,128,438) x common factors =1 x 2304 = 2304
LCM(768,189,107,128,438) = ( 768 × 189 × 107 × 128 × 438 ) / 2304
LCM(768,189,107,128,438) = 870744784896 / 2304
LCM(768,189,107,128,438) = 377927424
∴ Least Common Multiple of 768,189,107,128,438 is 377927424
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 768, 189, 107, 128, 438?
Answer: LCM of 768, 189, 107, 128, 438 is 377927424.
2. What are the Factors of 377927424?
Answer: Factors of 377927424 are . There are integers that are factors of 377927424
3. How to Find the LCM of 768, 189, 107, 128, 438 ?
Least Common Multiple of 768, 189, 107, 128, 438.
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(768, 189, 107, 128, 438) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 73 x 107 = 377927424.