Least Common Multiple of 30, 42, 690
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 30, 42, 690 i.e. 4830 smallest integer divisible by all numbers.
Least common multiple (LCM) of 30, 42, 690 is 4830.
LCM(30, 42, 690) = 4830
LCM of 30, 42, 690
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 30, 42, 690 by common division method
- Least Common Multiple of 30, 42, 690 with GCF Formula
Least Common Multiple (LCM) of 30,42,690 is 4830
| 2 | 30, 42, 690 |
| 3 | 15, 21, 345 |
| 5 | 5, 7, 115 |
| 1, 7, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 23 = 4830
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 30,42,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,42,690) = 6
common factors(in case of two or more numbers have common factors) = 30
GCF(30,42,690) x common factors =6 x 30 = 180
LCM(30,42,690) = ( 30 × 42 × 690 ) / 180
LCM(30,42,690) = 869400 / 180
LCM(30,42,690) = 4830
∴ Least Common Multiple of 30,42,690 is 4830
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 30, 42, 690
1. What is the LCM of 30, 42, 690?
Answer: LCM of 30, 42, 690 is 4830.
2. What are the Factors of 4830?
Answer: Factors of 4830 are . There are integers that are factors of 4830
3. How to Find the LCM of 30, 42, 690 ?
Least Common Multiple of 30, 42, 690.
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(30, 42, 690) = 2 x 3 x 5 x 7 x 23 = 4830.