LCM for 30 and 150

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 150?

Answer

LCM of 30 and 150 is 150

(One hundred fifty)

Finding LCM for 30 and 150 using GCF of these numbers

The first method to find LCM for numbers 30 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 150 is 30, so

LCM = (30 × 150) ÷ 30

LCM = 4500 ÷ 30

LCM = 150

Finding LCM for 30 and 150 by Listing Multiples

The second method to find LCM for numbers 30 and 150 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

Multiples of 150: 150, 300, 450

So the LCM for 30 and 150 is 150

Finding LCM for 30 and 150 by Prime Factorization

Another method to find LCM for numbers 30 and 150 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 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

21 × 31 × 52 = 150

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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 150? (The answer is: 150). Select the first number (e.g. '30') and the second number (e.g. '150'). 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
15150150
161501200
171502550
18150450
191502850
20150300
211501050
221501650
231503450
24150600
25150150
261501950
271501350
281502100
291504350
30150150
311504650
321502400
331501650
341502550
351501050
36150900
371505550
381502850
391501950
40150600
411506150
421501050
431506450
441503300

FAQ

What's the Least Common Multiple (LCM) of 30 and 150?

LCM of 30 and 150 is 150

How to find the LCM of 30 and 150 using prime factorization?

To find the LCM of 30 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 150.

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 150: LCM = 150, GCF = 30.

See Also