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 295, 746, 510, 445, 414 i.e. 68923943370 smallest integer divisible by all numbers.
Least common multiple (LCM) of 295, 746, 510, 445, 414 is 68923943370.
LCM(295, 746, 510, 445, 414) = 68923943370
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 295, 746, 510, 445, 414 |
3 | 295, 373, 255, 445, 207 |
5 | 295, 373, 85, 445, 69 |
59, 373, 17, 89, 69 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 59 x 373 x 17 x 89 x 69 = 68923943370
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 295,746,510,445,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,746,510,445,414) = 1
common factors(in case of two or more numbers have common factors) = 300
GCF(295,746,510,445,414) x common factors =1 x 300 = 300
LCM(295,746,510,445,414) = ( 295 × 746 × 510 × 445 × 414 ) / 300
LCM(295,746,510,445,414) = 20677183011000 / 300
LCM(295,746,510,445,414) = 68923943370
∴ Least Common Multiple of 295,746,510,445,414 is 68923943370
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 746, 510, 445, 414?
Answer: LCM of 295, 746, 510, 445, 414 is 68923943370.
2. What are the Factors of 68923943370?
Answer: Factors of 68923943370 are . There are integers that are factors of 68923943370
3. How to Find the LCM of 295, 746, 510, 445, 414 ?
Least Common Multiple of 295, 746, 510, 445, 414.
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(295, 746, 510, 445, 414) = 2 x 3 x 3 x 5 x 17 x 23 x 59 x 89 x 373 = 68923943370.