Least Common Multiple of 994, 35, 749, 705

Q: How to Find the LCM of 994, 35, 749, 705 ?

Least Common Multiple of 994, 35, 749, 705 = 74982390 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(994, 35, 749, 705) = 2 x 3 x 5 x 7 x 47 x 71 x 107 = 74982390.

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 994, 35, 749, 705 i.e. 74982390 smallest integer divisible by all numbers.

Least common multiple (LCM) of 994, 35, 749, 705 is 74982390.

LCM(994, 35, 749, 705) = 74982390

LCM of 994, 35, 749, 705

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

Least Common Multiple of 994, 35, 749, 705 by common division method
Least Common Multiple of 994, 35, 749, 705 with GCF Formula

Least Common Multiple of 994,35,749,705

Least Common Multiple (LCM) of 994,35,749,705 is 74982390

5	994, 35, 749, 705
7	994, 7, 749, 141
	142, 1, 107, 141

∴ So the LCM of the given numbers is 5 x 7 x 142 x 1 x 107 x 141 = 74982390

Least Common Multiple of 994,35,749,705 with GCF Formula

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 994,35,749,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,35,749,705) = 1

common factors(in case of two or more numbers have common factors) = 245

GCF(994,35,749,705) x common factors =1 x 245 = 245

LCM(994,35,749,705) = ( 994 × 35 × 749 × 705 ) / 245

LCM(994,35,749,705) = 18370685550 / 245

LCM(994,35,749,705) = 74982390

∴ Least Common Multiple of 994,35,749,705 is 74982390

LCM of two or more Numbers Calculation Examples

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

Frequently Asked Questions on LCM of 994, 35, 749, 705

1. What is the LCM of 994, 35, 749, 705?

Answer: LCM of 994, 35, 749, 705 is 74982390.

2. What are the Factors of 74982390?

Answer: Factors of 74982390 are . There are integers that are factors of 74982390

3. How to Find the LCM of 994, 35, 749, 705 ?

Least Common Multiple of 994, 35, 749, 705.

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(994, 35, 749, 705) = 2 x 3 x 5 x 7 x 47 x 71 x 107 = 74982390.