Least Common Multiple of 345, 276, 894

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 345, 276, 894 i.e. 205620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 276, 894 is 205620.

LCM(345, 276, 894) = 205620

LCM of 345, 276, 894

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

LCM of:

Least Common Multiple of 345,276,894

Least Common Multiple (LCM) of 345,276,894 is 205620

2 345, 276, 894
3 345, 138, 447
23 115, 46, 149
5, 2, 149

∴ So the LCM of the given numbers is 2 x 3 x 23 x 5 x 2 x 149 = 205620

Least Common Multiple of 345,276,894 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 345,276,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,276,894) = 3

common factors(in case of two or more numbers have common factors) = 138

GCF(345,276,894) x common factors =3 x 138 = 414

LCM(345,276,894) = ( 345 × 276 × 894 ) / 414

LCM(345,276,894) = 85126680 / 414

LCM(345,276,894) = 205620

∴ Least Common Multiple of 345,276,894 is 205620

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 345, 276, 894

1. What is the LCM of 345, 276, 894?

Answer: LCM of 345, 276, 894 is 205620.

2. What are the Factors of 205620?

Answer: Factors of 205620 are . There are integers that are factors of 205620

3. How to Find the LCM of 345, 276, 894 ?

Least Common Multiple of 345, 276, 894.

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(345, 276, 894) = 2 x 2 x 3 x 5 x 23 x 149 = 205620.