Least Common Multiple of 250/170, 9616/5164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 250/170, 9616/5164 quickly i.e. 601000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/170, 9616/5164 is 601000.

LCM(250/170, 9616/5164) = 601000

LCM of 250/170, 9616/5164

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 250/170,9616/5164

Given numbers are 250/170,9616/5164

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 250,9616

Least Common Multiple of Numerators i.e. LCM of 250,9616 is 1202000.

GCF of Denominators means GCF of 170,5164 as per the given fractions.

GCF of 170,5164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,9616

LCM of Fractions 250/170,9616/5164 is 601000

2 250, 9616
125, 4808

∴ So the LCM of the given numbers is 2 x 125 x 4808 = 1202000

Least Common Multiple of 250,9616 with GCF Formula

Least Common Multiple of 250,9616 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 250,9616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,9616) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(250,9616) x common factors =2 x 1 = 2

LCM(250,9616) = ( 250 × 9616 ) / 2

LCM(250,9616) = 2404000 / 2

LCM(250,9616) = 1202000


Lets's calculate GCF of 170,5164

2 170, 5164
85, 2582

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202000/2

Therefore the LCM of Fractions 250/170,9616/5164 is 601000

Greatest Common Factor of 170,5164 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,5164 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Greatest Common Factor

We found the factors 170,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 170,5164 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 250/170, 9616/5164

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 250/170, 9616/5164?

Answer: LCM of Numerators as per given numbers 250/170, 9616/5164 is

LCM of Numerators i.e. for 250,9616 is 1202000

GCF of denominators i.e. for 170,5164 is 2.

Thus, LCM of Fractions is 601000.Finally, LCM of Fractions for 250/170, 9616/5164 is 601000.