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 789, 346, 310, 522, 420 i.e. 51538537260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 789, 346, 310, 522, 420 is 51538537260.
LCM(789, 346, 310, 522, 420) = 51538537260
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 789, 346, 310, 522, 420 |
3 | 789, 173, 155, 261, 210 |
5 | 263, 173, 155, 87, 70 |
263, 173, 31, 87, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 263 x 173 x 31 x 87 x 14 = 51538537260
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 789,346,310,522,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,346,310,522,420) = 1
common factors(in case of two or more numbers have common factors) = 360
GCF(789,346,310,522,420) x common factors =1 x 360 = 360
LCM(789,346,310,522,420) = ( 789 × 346 × 310 × 522 × 420 ) / 360
LCM(789,346,310,522,420) = 18553873413600 / 360
LCM(789,346,310,522,420) = 51538537260
∴ Least Common Multiple of 789,346,310,522,420 is 51538537260
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 789, 346, 310, 522, 420?
Answer: LCM of 789, 346, 310, 522, 420 is 51538537260.
2. What are the Factors of 51538537260?
Answer: Factors of 51538537260 are . There are integers that are factors of 51538537260
3. How to Find the LCM of 789, 346, 310, 522, 420 ?
Least Common Multiple of 789, 346, 310, 522, 420.
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(789, 346, 310, 522, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 29 x 31 x 173 x 263 = 51538537260.