Least Common Multiple of 460, 964, 828, 671, 438

Q: How to Find the LCM of 460, 964, 828, 671, 438 ?

Least Common Multiple of 460, 964, 828, 671, 438 = 48872298420 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(460, 964, 828, 671, 438) = 2 x 2 x 3 x 3 x 5 x 11 x 23 x 61 x 73 x 241 = 48872298420.

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 460, 964, 828, 671, 438 i.e. 48872298420 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 964, 828, 671, 438 is 48872298420.

LCM(460, 964, 828, 671, 438) = 48872298420

LCM of 460, 964, 828, 671, 438

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

Least Common Multiple of 460, 964, 828, 671, 438 by common division method
Least Common Multiple of 460, 964, 828, 671, 438 with GCF Formula

Least Common Multiple of 460,964,828,671,438

Least Common Multiple (LCM) of 460,964,828,671,438 is 48872298420

2	460, 964, 828, 671, 438
2	230, 482, 414, 671, 219
3	115, 241, 207, 671, 219
23	115, 241, 69, 671, 73
	5, 241, 3, 671, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 5 x 241 x 3 x 671 x 73 = 48872298420

Least Common Multiple of 460,964,828,671,438 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 460,964,828,671,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,964,828,671,438) = 1

common factors(in case of two or more numbers have common factors) = 2208

GCF(460,964,828,671,438) x common factors =1 x 2208 = 2208

LCM(460,964,828,671,438) = ( 460 × 964 × 828 × 671 × 438 ) / 2208

LCM(460,964,828,671,438) = 107910034911360 / 2208

LCM(460,964,828,671,438) = 48872298420

∴ Least Common Multiple of 460,964,828,671,438 is 48872298420

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 460, 964, 828, 671, 438

1. What is the LCM of 460, 964, 828, 671, 438?

Answer: LCM of 460, 964, 828, 671, 438 is 48872298420.

2. What are the Factors of 48872298420?

Answer: Factors of 48872298420 are . There are integers that are factors of 48872298420

3. How to Find the LCM of 460, 964, 828, 671, 438 ?

Least Common Multiple of 460, 964, 828, 671, 438.

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(460, 964, 828, 671, 438) = 2 x 2 x 3 x 3 x 5 x 11 x 23 x 61 x 73 x 241 = 48872298420.