LCM for 10 and 350

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 350?

Answer

LCM of 10 and 350 is 350

(Three hundred fifty)

Finding LCM for 10 and 350 using GCF of these numbers

The first method to find LCM for numbers 10 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 350 is 10, so

LCM = (10 × 350) ÷ 10

LCM = 3500 ÷ 10

LCM = 350

Finding LCM for 10 and 350 by Listing Multiples

The second method to find LCM for numbers 10 and 350 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370

Multiples of 350: 350, 700, 1050

So the LCM for 10 and 350 is 350

Finding LCM for 10 and 350 by Prime Factorization

Another method to find LCM for numbers 10 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)

21 × 52 × 71 = 350

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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 10 and 350? (The answer is: 350). Select the first number (e.g. '10') and the second number (e.g. '350'). 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
1350350
2350350
33501050
4350700
5350350
63501050
7350350
83501400
93503150
10350350
113503850
123502100
133504550
14350350
153501050
163502800
173505950
183503150
193506650
20350700
213501050
223503850
233508050
243504200
25350350
263504550
273509450
28350700
2935010150
303501050

FAQ

What's the Least Common Multiple (LCM) of 10 and 350?

LCM of 10 and 350 is 350

How to find the LCM of 10 and 350 using prime factorization?

To find the LCM of 10 and 350, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 350.

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 10 and 350: LCM = 350, GCF = 10.

See Also