Least Common Multiple of 428, 199, 448, 224, 474

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 428, 199, 448, 224, 474 i.e. 2260805568 smallest integer divisible by all numbers.

Least common multiple (LCM) of 428, 199, 448, 224, 474 is 2260805568.

LCM(428, 199, 448, 224, 474) = 2260805568

LCM of 428, 199, 448, 224, 474

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

LCM of:

Least Common Multiple of 428,199,448,224,474

Least Common Multiple (LCM) of 428,199,448,224,474 is 2260805568

2 428, 199, 448, 224, 474
2 214, 199, 224, 112, 237
2 107, 199, 56, 112, 237
2 107, 199, 28, 56, 237
2 107, 199, 14, 28, 237
7 107, 199, 7, 14, 237
107, 199, 1, 2, 237

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 107 x 199 x 1 x 2 x 237 = 2260805568

Least Common Multiple of 428,199,448,224,474 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 428,199,448,224,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,199,448,224,474) = 1

common factors(in case of two or more numbers have common factors) = 1792

GCF(428,199,448,224,474) x common factors =1 x 1792 = 1792

LCM(428,199,448,224,474) = ( 428 × 199 × 448 × 224 × 474 ) / 1792

LCM(428,199,448,224,474) = 4051363577856 / 1792

LCM(428,199,448,224,474) = 2260805568

∴ Least Common Multiple of 428,199,448,224,474 is 2260805568

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 428, 199, 448, 224, 474

1. What is the LCM of 428, 199, 448, 224, 474?

Answer: LCM of 428, 199, 448, 224, 474 is 2260805568.

2. What are the Factors of 2260805568?

Answer: Factors of 2260805568 are . There are integers that are factors of 2260805568

3. How to Find the LCM of 428, 199, 448, 224, 474 ?

Least Common Multiple of 428, 199, 448, 224, 474.

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(428, 199, 448, 224, 474) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 79 x 107 x 199 = 2260805568.