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 742, 702, 954, 106, 867 i.e. 75267738 smallest integer divisible by all numbers.
Least common multiple (LCM) of 742, 702, 954, 106, 867 is 75267738.
LCM(742, 702, 954, 106, 867) = 75267738
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 742, 702, 954, 106, 867 |
3 | 371, 351, 477, 53, 867 |
3 | 371, 117, 159, 53, 289 |
53 | 371, 39, 53, 53, 289 |
7, 39, 1, 1, 289 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 53 x 7 x 39 x 1 x 1 x 289 = 75267738
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 742,702,954,106,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,702,954,106,867) = 1
common factors(in case of two or more numbers have common factors) = 606744
GCF(742,702,954,106,867) x common factors =1 x 606744 = 606744
LCM(742,702,954,106,867) = ( 742 × 702 × 954 × 106 × 867 ) / 606744
LCM(742,702,954,106,867) = 45668248425072 / 606744
LCM(742,702,954,106,867) = 75267738
∴ Least Common Multiple of 742,702,954,106,867 is 75267738
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 702, 954, 106, 867?
Answer: LCM of 742, 702, 954, 106, 867 is 75267738.
2. What are the Factors of 75267738?
Answer: Factors of 75267738 are . There are integers that are factors of 75267738
3. How to Find the LCM of 742, 702, 954, 106, 867 ?
Least Common Multiple of 742, 702, 954, 106, 867.
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(742, 702, 954, 106, 867) = 2 x 3 x 3 x 3 x 7 x 13 x 17 x 17 x 53 = 75267738.