Least Common Multiple of 105, 735, 493

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

• Least Common Multiple of 105, 735, 493 by common division method
• Least Common Multiple of 105, 735, 493 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 7 x 493 = 362355

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 105,735,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,735,493) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(105,735,493) x common factors =1 x 105 = 105

LCM(105,735,493) = ( 105 × 735 × 493 ) / 105

LCM(105,735,493) = 38047275 / 105

LCM(105,735,493) = 362355

∴ Least Common Multiple of 105,735,493 is 362355

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 903, 933, 314
• LCM of 451, 366, 148
• LCM of 924, 414, 392
• LCM of 907, 521, 673
• LCM of 966, 653, 707

1. What is the LCM of 105, 735, 493?

Answer: LCM of 105, 735, 493 is 362355.

2. What are the Factors of 362355?

Answer: Factors of 362355 are . There are integers that are factors of 362355

3. How to Find the LCM of 105, 735, 493 ?

Least Common Multiple of 105, 735, 493.

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(105, 735, 493) = 3 x 5 x 7 x 7 x 17 x 29 = 362355.