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 343, 630, 735 i.e. 30870 smallest integer divisible by all numbers.
Least common multiple (LCM) of 343, 630, 735 is 30870.
LCM(343, 630, 735) = 30870
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 343, 630, 735 |
5 | 343, 210, 245 |
7 | 343, 42, 49 |
7 | 7, 6, 49 |
1, 6, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 1 x 6 x 7 = 30870
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 343,630,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,630,735) = 7
common factors(in case of two or more numbers have common factors) = 735
GCF(343,630,735) x common factors =7 x 735 = 5145
LCM(343,630,735) = ( 343 × 630 × 735 ) / 5145
LCM(343,630,735) = 158826150 / 5145
LCM(343,630,735) = 30870
∴ Least Common Multiple of 343,630,735 is 30870
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 630, 735?
Answer: LCM of 343, 630, 735 is 30870.
2. What are the Factors of 30870?
Answer: Factors of 30870 are . There are integers that are factors of 30870
3. How to Find the LCM of 343, 630, 735 ?
Least Common Multiple of 343, 630, 735.
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(343, 630, 735) = 2 x 3 x 3 x 5 x 7 x 7 x 7 = 30870.