Least Common Multiple of 649/736, 907/354, 147/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 649/736, 907/354, 147/593 quickly i.e. 86530521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/736, 907/354, 147/593 is 86530521.

LCM(649/736, 907/354, 147/593) = 86530521

LCM of 649/736, 907/354, 147/593

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 649/736,907/354,147/593

Given numbers are 649/736,907/354,147/593

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 649,907,147

Least Common Multiple of Numerators i.e. LCM of 649,907,147 is 86530521.

GCF of Denominators means GCF of 736,354,593 as per the given fractions.

GCF of 736,354,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,907,147

LCM of Fractions 649/736,907/354,147/593 is 86530521

Given numbers has no common factors except 1. So, there LCM is their product i.e 86530521

Least Common Multiple of 649,907,147 with GCF Formula

Least Common Multiple of 649,907,147 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 649,907,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,907,147) = 1

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

GCF(649,907,147) x common factors =1 x 1 = 1

LCM(649,907,147) = ( 649 × 907 × 147 ) / 1

LCM(649,907,147) = 86530521 / 1

LCM(649,907,147) = 86530521


Lets's calculate GCF of 736,354,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86530521/1

Therefore the LCM of Fractions 649/736,907/354,147/593 is 86530521

Greatest Common Factor of 736,354,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,354,593 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 736,354,593 . The biggest common factor number is the GCF number.
So the greatest common factor 736,354,593 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 649/736, 907/354, 147/593

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 649/736, 907/354, 147/593?

Answer: LCM of Numerators as per given numbers 649/736, 907/354, 147/593 is

LCM of Numerators i.e. for 649,907,147 is 86530521

GCF of denominators i.e. for 736,354,593 is 1.

Thus, LCM of Fractions is 86530521.Finally, LCM of Fractions for 649/736, 907/354, 147/593 is 86530521.