Least Common Multiple of 460, 139, 284, 834

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, 139, 284, 834 i.e. 13619220 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 139, 284, 834 is 13619220.

LCM(460, 139, 284, 834) = 13619220

LCM of 460, 139, 284, 834

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

LCM of:

Least Common Multiple of 460,139,284,834

Least Common Multiple (LCM) of 460,139,284,834 is 13619220

2 460, 139, 284, 834
2 230, 139, 142, 417
139 115, 139, 71, 417
115, 1, 71, 3

∴ So the LCM of the given numbers is 2 x 2 x 139 x 115 x 1 x 71 x 3 = 13619220

Least Common Multiple of 460,139,284,834 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 460,139,284,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,139,284,834) = 1

common factors(in case of two or more numbers have common factors) = 1112

GCF(460,139,284,834) x common factors =1 x 1112 = 1112

LCM(460,139,284,834) = ( 460 × 139 × 284 × 834 ) / 1112

LCM(460,139,284,834) = 15144572640 / 1112

LCM(460,139,284,834) = 13619220

∴ Least Common Multiple of 460,139,284,834 is 13619220

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 460, 139, 284, 834

1. What is the LCM of 460, 139, 284, 834?

Answer: LCM of 460, 139, 284, 834 is 13619220.

2. What are the Factors of 13619220?

Answer: Factors of 13619220 are . There are integers that are factors of 13619220

3. How to Find the LCM of 460, 139, 284, 834 ?

Least Common Multiple of 460, 139, 284, 834.

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, 139, 284, 834) = 2 x 2 x 3 x 5 x 23 x 71 x 139 = 13619220.