LCM for 30 and 155

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 155?

Answer

LCM of 30 and 155 is 930

(Nine hundred thirty)

Finding LCM for 30 and 155 using GCF of these numbers

The first method to find LCM for numbers 30 and 155 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 155 is 5, so

LCM = (30 × 155) ÷ 5

LCM = 4650 ÷ 5

LCM = 930

Finding LCM for 30 and 155 by Listing Multiples

The second method to find LCM for numbers 30 and 155 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990

Multiples of 155: 155, 310, 465, 620, 775, 930, 1085, 1240

So the LCM for 30 and 155 is 930

Finding LCM for 30 and 155 by Prime Factorization

Another method to find LCM for numbers 30 and 155 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

All Prime Factors of 155: 5, 31 (exponent form: 51, 311)

21 × 31 × 51 × 311 = 930

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 30 and 155? (The answer is: 930). Select the first number (e.g. '30') and the second number (e.g. '155'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
15155465
161552480
171552635
181552790
191552945
20155620
211553255
221553410
231553565
241553720
25155775
261554030
271554185
281554340
291554495
30155930
31155155
321554960
331555115
341555270
351551085
361555580
371555735
381555890
391556045
401551240
411556355
421556510
431556665
441556820

FAQ

What's the Least Common Multiple (LCM) of 30 and 155?

LCM of 30 and 155 is 930

How to find the LCM of 30 and 155 using prime factorization?

To find the LCM of 30 and 155, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 930.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 30 and 155: LCM = 930, GCF = 5.