Least Common Multiple of 17/649, 368/98, 924/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/649, 368/98, 924/526 quickly i.e. 1445136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/649, 368/98, 924/526 is 1445136.

LCM(17/649, 368/98, 924/526) = 1445136

LCM of 17/649, 368/98, 924/526

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 17/649,368/98,924/526

Given numbers are 17/649,368/98,924/526

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 17,368,924

Least Common Multiple of Numerators i.e. LCM of 17,368,924 is 1445136.

GCF of Denominators means GCF of 649,98,526 as per the given fractions.

GCF of 649,98,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,368,924

LCM of Fractions 17/649,368/98,924/526 is 1445136

2 17, 368, 924
2 17, 184, 462
17, 92, 231

∴ So the LCM of the given numbers is 2 x 2 x 17 x 92 x 231 = 1445136

Least Common Multiple of 17,368,924 with GCF Formula

Least Common Multiple of 17,368,924 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 17,368,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,368,924) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,368,924) x common factors =1 x 4 = 4

LCM(17,368,924) = ( 17 × 368 × 924 ) / 4

LCM(17,368,924) = 5780544 / 4

LCM(17,368,924) = 1445136


Lets's calculate GCF of 649,98,526

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1445136/1

Therefore the LCM of Fractions 17/649,368/98,924/526 is 1445136

Greatest Common Factor of 649,98,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,98,526 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 649,98,526 . The biggest common factor number is the GCF number.
So the greatest common factor 649,98,526 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 17/649, 368/98, 924/526

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 17/649, 368/98, 924/526?

Answer: LCM of Numerators as per given numbers 17/649, 368/98, 924/526 is

LCM of Numerators i.e. for 17,368,924 is 1445136

GCF of denominators i.e. for 649,98,526 is 1.

Thus, LCM of Fractions is 1445136.Finally, LCM of Fractions for 17/649, 368/98, 924/526 is 1445136.