Least Common Multiple of 1607/648, 9559/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1607/648, 9559/834 quickly i.e. 15361313/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1607/648, 9559/834 is 15361313/6.

LCM(1607/648, 9559/834) = 15361313/6

LCM of 1607/648, 9559/834

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 1607/648,9559/834

Given numbers are 1607/648,9559/834

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 1607,9559

Least Common Multiple of Numerators i.e. LCM of 1607,9559 is 15361313.

GCF of Denominators means GCF of 648,834 as per the given fractions.

GCF of 648,834 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1607,9559

LCM of Fractions 1607/648,9559/834 is 15361313/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 15361313

Least Common Multiple of 1607,9559 with GCF Formula

Least Common Multiple of 1607,9559 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 1607,9559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1607,9559) = 1

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

GCF(1607,9559) x common factors =1 x 1 = 1

LCM(1607,9559) = ( 1607 × 9559 ) / 1

LCM(1607,9559) = 15361313 / 1

LCM(1607,9559) = 15361313


Lets's calculate GCF of 648,834

2 648, 834
3 324, 417
108, 139

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15361313/6

Therefore the LCM of Fractions 1607/648,9559/834 is 15361313/6

Greatest Common Factor of 648,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,834 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 648,834 . The biggest common factor number is the GCF number.
So the greatest common factor 648,834 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1607/648, 9559/834

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 1607/648, 9559/834?

Answer: LCM of Numerators as per given numbers 1607/648, 9559/834 is

LCM of Numerators i.e. for 1607,9559 is 15361313

GCF of denominators i.e. for 648,834 is 6.

Thus, LCM of Fractions is 15361313/6.Finally, LCM of Fractions for 1607/648, 9559/834 is 15361313/6.