Least Common Multiple of 35, 42, 401
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 35, 42, 401 i.e. 84210 smallest integer divisible by all numbers.
Least common multiple (LCM) of 35, 42, 401 is 84210.
LCM(35, 42, 401) = 84210
LCM of 35, 42, 401
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 35, 42, 401 by common division method
- Least Common Multiple of 35, 42, 401 with GCF Formula
Least Common Multiple (LCM) of 35,42,401 is 84210
| 7 | 35, 42, 401 |
| 5, 6, 401 |
∴ So the LCM of the given numbers is 7 x 5 x 6 x 401 = 84210
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 35,42,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,42,401) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(35,42,401) x common factors =1 x 7 = 7
LCM(35,42,401) = ( 35 × 42 × 401 ) / 7
LCM(35,42,401) = 589470 / 7
LCM(35,42,401) = 84210
∴ Least Common Multiple of 35,42,401 is 84210
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 35, 42, 401
1. What is the LCM of 35, 42, 401?
Answer: LCM of 35, 42, 401 is 84210.
2. What are the Factors of 84210?
Answer: Factors of 84210 are . There are integers that are factors of 84210
3. How to Find the LCM of 35, 42, 401 ?
Least Common Multiple of 35, 42, 401.
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(35, 42, 401) = 2 x 3 x 5 x 7 x 401 = 84210.