Least Common Multiple of 40, 34, 77, 490

Q: How to Find the LCM of 40, 34, 77, 490 ?

Least Common Multiple of 40, 34, 77, 490 = 366520 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(40, 34, 77, 490) = 2 x 2 x 2 x 5 x 7 x 7 x 11 x 17 = 366520.

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 40, 34, 77, 490 i.e. 366520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 34, 77, 490 is 366520.

LCM(40, 34, 77, 490) = 366520

LCM of 40, 34, 77, 490

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

Least Common Multiple of 40, 34, 77, 490 by common division method
Least Common Multiple of 40, 34, 77, 490 with GCF Formula

Least Common Multiple of 40,34,77,490

Least Common Multiple (LCM) of 40,34,77,490 is 366520

2	40, 34, 77, 490
5	20, 17, 77, 245
7	4, 17, 77, 49
	4, 17, 11, 7

∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 17 x 11 x 7 = 366520

Least Common Multiple of 40,34,77,490 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 40,34,77,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,34,77,490) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(40,34,77,490) x common factors =1 x 140 = 140

LCM(40,34,77,490) = ( 40 × 34 × 77 × 490 ) / 140

LCM(40,34,77,490) = 51312800 / 140

LCM(40,34,77,490) = 366520

∴ Least Common Multiple of 40,34,77,490 is 366520

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 40, 34, 77, 490

1. What is the LCM of 40, 34, 77, 490?

Answer: LCM of 40, 34, 77, 490 is 366520.

2. What are the Factors of 366520?

Answer: Factors of 366520 are . There are integers that are factors of 366520

3. How to Find the LCM of 40, 34, 77, 490 ?

Least Common Multiple of 40, 34, 77, 490.

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(40, 34, 77, 490) = 2 x 2 x 2 x 5 x 7 x 7 x 11 x 17 = 366520.