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 776, 767, 306, 171, 744 i.e. 53636917464 smallest integer divisible by all numbers.
Least common multiple (LCM) of 776, 767, 306, 171, 744 is 53636917464.
LCM(776, 767, 306, 171, 744) = 53636917464
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 776, 767, 306, 171, 744 |
2 | 388, 767, 153, 171, 372 |
2 | 194, 767, 153, 171, 186 |
3 | 97, 767, 153, 171, 93 |
3 | 97, 767, 51, 57, 31 |
97, 767, 17, 19, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 97 x 767 x 17 x 19 x 31 = 53636917464
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 776,767,306,171,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,767,306,171,744) = 1
common factors(in case of two or more numbers have common factors) = 432
GCF(776,767,306,171,744) x common factors =1 x 432 = 432
LCM(776,767,306,171,744) = ( 776 × 767 × 306 × 171 × 744 ) / 432
LCM(776,767,306,171,744) = 23171148344448 / 432
LCM(776,767,306,171,744) = 53636917464
∴ Least Common Multiple of 776,767,306,171,744 is 53636917464
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 776, 767, 306, 171, 744?
Answer: LCM of 776, 767, 306, 171, 744 is 53636917464.
2. What are the Factors of 53636917464?
Answer: Factors of 53636917464 are . There are integers that are factors of 53636917464
3. How to Find the LCM of 776, 767, 306, 171, 744 ?
Least Common Multiple of 776, 767, 306, 171, 744.
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(776, 767, 306, 171, 744) = 2 x 2 x 2 x 3 x 3 x 13 x 17 x 19 x 31 x 59 x 97 = 53636917464.