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 363, 126, 945, 624, 320 i.e. 95135040 smallest integer divisible by all numbers.
Least common multiple (LCM) of 363, 126, 945, 624, 320 is 95135040.
LCM(363, 126, 945, 624, 320) = 95135040
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 363, 126, 945, 624, 320 |
2 | 363, 63, 945, 312, 160 |
2 | 363, 63, 945, 156, 80 |
2 | 363, 63, 945, 78, 40 |
3 | 363, 63, 945, 39, 20 |
3 | 121, 21, 315, 13, 20 |
5 | 121, 7, 105, 13, 20 |
7 | 121, 7, 21, 13, 4 |
121, 1, 3, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 121 x 1 x 3 x 13 x 4 = 95135040
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 363,126,945,624,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,126,945,624,320) = 1
common factors(in case of two or more numbers have common factors) = 90720
GCF(363,126,945,624,320) x common factors =1 x 90720 = 90720
LCM(363,126,945,624,320) = ( 363 × 126 × 945 × 624 × 320 ) / 90720
LCM(363,126,945,624,320) = 8630650828800 / 90720
LCM(363,126,945,624,320) = 95135040
∴ Least Common Multiple of 363,126,945,624,320 is 95135040
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 126, 945, 624, 320?
Answer: LCM of 363, 126, 945, 624, 320 is 95135040.
2. What are the Factors of 95135040?
Answer: Factors of 95135040 are . There are integers that are factors of 95135040
3. How to Find the LCM of 363, 126, 945, 624, 320 ?
Least Common Multiple of 363, 126, 945, 624, 320.
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(363, 126, 945, 624, 320) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 11 x 13 = 95135040.