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 348, 648, 841, 992 i.e. 67576032 smallest integer divisible by all numbers.
Least common multiple (LCM) of 348, 648, 841, 992 is 67576032.
LCM(348, 648, 841, 992) = 67576032
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 348, 648, 841, 992 |
2 | 174, 324, 841, 496 |
2 | 87, 162, 841, 248 |
3 | 87, 81, 841, 124 |
29 | 29, 27, 841, 124 |
1, 27, 29, 124 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 1 x 27 x 29 x 124 = 67576032
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 348,648,841,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,648,841,992) = 1
common factors(in case of two or more numbers have common factors) = 2784
GCF(348,648,841,992) x common factors =1 x 2784 = 2784
LCM(348,648,841,992) = ( 348 × 648 × 841 × 992 ) / 2784
LCM(348,648,841,992) = 188131673088 / 2784
LCM(348,648,841,992) = 67576032
∴ Least Common Multiple of 348,648,841,992 is 67576032
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 348, 648, 841, 992?
Answer: LCM of 348, 648, 841, 992 is 67576032.
2. What are the Factors of 67576032?
Answer: Factors of 67576032 are . There are integers that are factors of 67576032
3. How to Find the LCM of 348, 648, 841, 992 ?
Least Common Multiple of 348, 648, 841, 992.
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(348, 648, 841, 992) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 29 x 29 x 31 = 67576032.