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 858, 946, 700, 430, 168 i.e. 25825800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 858, 946, 700, 430, 168 is 25825800.
LCM(858, 946, 700, 430, 168) = 25825800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 858, 946, 700, 430, 168 |
2 | 429, 473, 350, 215, 84 |
3 | 429, 473, 175, 215, 42 |
5 | 143, 473, 175, 215, 14 |
7 | 143, 473, 35, 43, 14 |
11 | 143, 473, 5, 43, 2 |
43 | 13, 43, 5, 43, 2 |
13, 1, 5, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 11 x 43 x 13 x 1 x 5 x 1 x 2 = 25825800
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 858,946,700,430,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,946,700,430,168) = 2
common factors(in case of two or more numbers have common factors) = 794640
GCF(858,946,700,430,168) x common factors =2 x 794640 = 1589280
LCM(858,946,700,430,168) = ( 858 × 946 × 700 × 430 × 168 ) / 1589280
LCM(858,946,700,430,168) = 41044427424000 / 1589280
LCM(858,946,700,430,168) = 25825800
∴ Least Common Multiple of 858,946,700,430,168 is 25825800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 946, 700, 430, 168?
Answer: LCM of 858, 946, 700, 430, 168 is 25825800.
2. What are the Factors of 25825800?
Answer: Factors of 25825800 are . There are integers that are factors of 25825800
3. How to Find the LCM of 858, 946, 700, 430, 168 ?
Least Common Multiple of 858, 946, 700, 430, 168.
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(858, 946, 700, 430, 168) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 13 x 43 = 25825800.