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LCM for 50 and 170

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 170?

Answer

LCM of 50 and 170 is 850

(Eight hundred fifty)

Finding LCM for 50 and 170 using GCF of these numbers

The first method to find LCM for numbers 50 and 170 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 170 is 10, so

LCM = (50 × 170) ÷ 10

LCM = 8500 ÷ 10

LCM = 850

Finding LCM for 50 and 170 by Listing Multiples

The second method to find LCM for numbers 50 and 170 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950

Multiples of 170: 170, 340, 510, 680, 850, 1020, 1190

So the LCM for 50 and 170 is 850

Finding LCM for 50 and 170 by Prime Factorization

Another method to find LCM for numbers 50 and 170 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

All Prime Factors of 170: 2, 5, 17 (exponent form: 21, 51, 171)

21 × 52 × 171 = 850

Related Calculations

See Also

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What is the LCM of 50 and 170?. Find the LCM of 50 and 170 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
351701190
361703060
371706290
381703230
391706630
40170680
411706970
421703570
431707310
441703740
451701530
461703910
471707990
481704080
491708330
50170850
51170510
521704420
531709010
541704590
551701870
561704760
571709690
581704930
5917010030
601701020
6117010370
621705270
6317010710
641705440

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 50 and 170? (The answer is: 850). Select the first number (e.g. '50') and the second number (e.g. '170'). 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

FAQ

What's the Least Common Multiple (LCM) of 50 and 170?

LCM of 50 and 170 is 850

How to find the LCM of 50 and 170 using prime factorization?

To find the LCM of 50 and 170, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 850.

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 50 and 170: LCM = 850, GCF = 10.

See Also