Least Common Multiple of 99, 42, 814
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 99, 42, 814 i.e. 51282 smallest integer divisible by all numbers.
Least common multiple (LCM) of 99, 42, 814 is 51282.
LCM(99, 42, 814) = 51282
LCM of 99, 42, 814
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 99, 42, 814 by common division method
- Least Common Multiple of 99, 42, 814 with GCF Formula
Least Common Multiple (LCM) of 99,42,814 is 51282
| 2 | 99, 42, 814 |
| 3 | 99, 21, 407 |
| 11 | 33, 7, 407 |
| 3, 7, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 7 x 37 = 51282
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 99,42,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,42,814) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(99,42,814) x common factors =1 x 66 = 66
LCM(99,42,814) = ( 99 × 42 × 814 ) / 66
LCM(99,42,814) = 3384612 / 66
LCM(99,42,814) = 51282
∴ Least Common Multiple of 99,42,814 is 51282
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 99, 42, 814
1. What is the LCM of 99, 42, 814?
Answer: LCM of 99, 42, 814 is 51282.
2. What are the Factors of 51282?
Answer: Factors of 51282 are . There are integers that are factors of 51282
3. How to Find the LCM of 99, 42, 814 ?
Least Common Multiple of 99, 42, 814.
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(99, 42, 814) = 2 x 3 x 3 x 7 x 11 x 37 = 51282.