LCM for 30 and 145

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 145?

Answer

LCM of 30 and 145 is 870

(Eight hundred seventy)

Finding LCM for 30 and 145 using GCF of these numbers

The first method to find LCM for numbers 30 and 145 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 145 is 5, so

LCM = (30 × 145) ÷ 5

LCM = 4350 ÷ 5

LCM = 870

Finding LCM for 30 and 145 by Listing Multiples

The second method to find LCM for numbers 30 and 145 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

Multiples of 145: 145, 290, 435, 580, 725, 870, 1015, 1160

So the LCM for 30 and 145 is 870

Finding LCM for 30 and 145 by Prime Factorization

Another method to find LCM for numbers 30 and 145 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 145: 5, 29 (exponent form: 51, 291)

21 × 31 × 51 × 291 = 870

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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 145? (The answer is: 870). Select the first number (e.g. '30') and the second number (e.g. '145'). 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
15145435
161452320
171452465
181452610
191452755
20145580
211453045
221453190
231453335
241453480
25145725
261453770
271453915
281454060
29145145
30145870
311454495
321454640
331454785
341454930
351451015
361455220
371455365
381455510
391455655
401451160
411455945
421456090
431456235
441456380

FAQ

What's the Least Common Multiple (LCM) of 30 and 145?

LCM of 30 and 145 is 870

How to find the LCM of 30 and 145 using prime factorization?

To find the LCM of 30 and 145, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 870.

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 145: LCM = 870, GCF = 5.

See Also