Least Common Multiple of 46, 58, 52, 552

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 46, 58, 52, 552 i.e. 208104 smallest integer divisible by all numbers.

Least common multiple (LCM) of 46, 58, 52, 552 is 208104.

LCM(46, 58, 52, 552) = 208104

LCM of 46, 58, 52, 552

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

LCM of:

Least Common Multiple of 46,58,52,552

Least Common Multiple (LCM) of 46,58,52,552 is 208104

2 46, 58, 52, 552
2 23, 29, 26, 276
23 23, 29, 13, 138
1, 29, 13, 6

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 29 x 13 x 6 = 208104

Least Common Multiple of 46,58,52,552 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 46,58,52,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,58,52,552) = 2

common factors(in case of two or more numbers have common factors) = 184

GCF(46,58,52,552) x common factors =2 x 184 = 368

LCM(46,58,52,552) = ( 46 × 58 × 52 × 552 ) / 368

LCM(46,58,52,552) = 76582272 / 368

LCM(46,58,52,552) = 208104

∴ Least Common Multiple of 46,58,52,552 is 208104

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 46, 58, 52, 552

1. What is the LCM of 46, 58, 52, 552?

Answer: LCM of 46, 58, 52, 552 is 208104.

2. What are the Factors of 208104?

Answer: Factors of 208104 are . There are integers that are factors of 208104

3. How to Find the LCM of 46, 58, 52, 552 ?

Least Common Multiple of 46, 58, 52, 552.

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(46, 58, 52, 552) = 2 x 2 x 2 x 3 x 13 x 23 x 29 = 208104.