Least Common Multiple of 35, 75, 21, 38

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

• Least Common Multiple of 35, 75, 21, 38 by common division method
• Least Common Multiple of 35, 75, 21, 38 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 5 x 1 x 38 = 19950

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 35,75,21,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,75,21,38) = 1

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

GCF(35,75,21,38) x common factors =1 x 105 = 105

LCM(35,75,21,38) = ( 35 × 75 × 21 × 38 ) / 105

LCM(35,75,21,38) = 2094750 / 105

LCM(35,75,21,38) = 19950

∴ Least Common Multiple of 35,75,21,38 is 19950

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

• LCM of 76, 57, 59, 80
• LCM of 37, 35, 64, 59
• LCM of 29, 59, 79, 39
• LCM of 96, 80, 13, 46
• LCM of 34, 26, 35, 79

1. What is the LCM of 35, 75, 21, 38?

Answer: LCM of 35, 75, 21, 38 is 19950.

2. What are the Factors of 19950?

Answer: Factors of 19950 are . There are integers that are factors of 19950

3. How to Find the LCM of 35, 75, 21, 38 ?

Least Common Multiple of 35, 75, 21, 38.

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(35, 75, 21, 38) = 2 x 3 x 5 x 5 x 7 x 19 = 19950.