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 429, 234, 738 i.e. 105534 smallest integer divisible by all numbers.
Least common multiple (LCM) of 429, 234, 738 is 105534.
LCM(429, 234, 738) = 105534
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 429, 234, 738 |
3 | 429, 117, 369 |
3 | 143, 39, 123 |
13 | 143, 13, 41 |
11, 1, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 11 x 1 x 41 = 105534
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 429,234,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,234,738) = 3
common factors(in case of two or more numbers have common factors) = 234
GCF(429,234,738) x common factors =3 x 234 = 702
LCM(429,234,738) = ( 429 × 234 × 738 ) / 702
LCM(429,234,738) = 74084868 / 702
LCM(429,234,738) = 105534
∴ Least Common Multiple of 429,234,738 is 105534
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 234, 738?
Answer: LCM of 429, 234, 738 is 105534.
2. What are the Factors of 105534?
Answer: Factors of 105534 are . There are integers that are factors of 105534
3. How to Find the LCM of 429, 234, 738 ?
Least Common Multiple of 429, 234, 738.
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(429, 234, 738) = 2 x 3 x 3 x 11 x 13 x 41 = 105534.