Least Common Multiple of 49, 46, 735, 105

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

• Least Common Multiple of 49, 46, 735, 105 by common division method
• Least Common Multiple of 49, 46, 735, 105 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 1 x 46 x 1 x 1 = 33810

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 49,46,735,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,46,735,105) = 1

common factors(in case of two or more numbers have common factors) = 5145

GCF(49,46,735,105) x common factors =1 x 5145 = 5145

LCM(49,46,735,105) = ( 49 × 46 × 735 × 105 ) / 5145

LCM(49,46,735,105) = 173952450 / 5145

LCM(49,46,735,105) = 33810

∴ Least Common Multiple of 49,46,735,105 is 33810

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

• LCM of 60, 65, 656, 376
• LCM of 84, 89, 462, 196
• LCM of 72, 68, 260, 993
• LCM of 14, 55, 195, 998
• LCM of 76, 45, 939, 678

1. What is the LCM of 49, 46, 735, 105?

Answer: LCM of 49, 46, 735, 105 is 33810.

2. What are the Factors of 33810?

Answer: Factors of 33810 are . There are integers that are factors of 33810

3. How to Find the LCM of 49, 46, 735, 105 ?

Least Common Multiple of 49, 46, 735, 105.

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(49, 46, 735, 105) = 2 x 3 x 5 x 7 x 7 x 23 = 33810.