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 681, 920, 828, 915 i.e. 114653160 smallest integer divisible by all numbers.
Least common multiple (LCM) of 681, 920, 828, 915 is 114653160.
LCM(681, 920, 828, 915) = 114653160
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 681, 920, 828, 915 |
2 | 681, 460, 414, 915 |
3 | 681, 230, 207, 915 |
5 | 227, 230, 69, 305 |
23 | 227, 46, 69, 61 |
227, 2, 3, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 227 x 2 x 3 x 61 = 114653160
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 681,920,828,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,920,828,915) = 1
common factors(in case of two or more numbers have common factors) = 4140
GCF(681,920,828,915) x common factors =1 x 4140 = 4140
LCM(681,920,828,915) = ( 681 × 920 × 828 × 915 ) / 4140
LCM(681,920,828,915) = 474664082400 / 4140
LCM(681,920,828,915) = 114653160
∴ Least Common Multiple of 681,920,828,915 is 114653160
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 920, 828, 915?
Answer: LCM of 681, 920, 828, 915 is 114653160.
2. What are the Factors of 114653160?
Answer: Factors of 114653160 are . There are integers that are factors of 114653160
3. How to Find the LCM of 681, 920, 828, 915 ?
Least Common Multiple of 681, 920, 828, 915.
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(681, 920, 828, 915) = 2 x 2 x 2 x 3 x 3 x 5 x 23 x 61 x 227 = 114653160.