Least Common Multiple of 549/786, 357/300, 535/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/786, 357/300, 535/426 quickly i.e. 34952085/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/786, 357/300, 535/426 is 34952085/6.

LCM(549/786, 357/300, 535/426) = 34952085/6

LCM of 549/786, 357/300, 535/426

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 549/786,357/300,535/426

Given numbers are 549/786,357/300,535/426

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 549,357,535

Least Common Multiple of Numerators i.e. LCM of 549,357,535 is 34952085.

GCF of Denominators means GCF of 786,300,426 as per the given fractions.

GCF of 786,300,426 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,357,535

LCM of Fractions 549/786,357/300,535/426 is 34952085/6

3 549, 357, 535
183, 119, 535

∴ So the LCM of the given numbers is 3 x 183 x 119 x 535 = 34952085

Least Common Multiple of 549,357,535 with GCF Formula

Least Common Multiple of 549,357,535 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 549,357,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,357,535) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(549,357,535) x common factors =1 x 3 = 3

LCM(549,357,535) = ( 549 × 357 × 535 ) / 3

LCM(549,357,535) = 104856255 / 3

LCM(549,357,535) = 34952085


Lets's calculate GCF of 786,300,426

2 786, 300, 426
3 393, 150, 213
131, 50, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34952085/6

Therefore the LCM of Fractions 549/786,357/300,535/426 is 34952085/6

Greatest Common Factor of 786,300,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,300,426 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 786,300,426 . The biggest common factor number is the GCF number.
So the greatest common factor 786,300,426 is 6.


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 549/786, 357/300, 535/426

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 549/786, 357/300, 535/426?

Answer: LCM of Numerators as per given numbers 549/786, 357/300, 535/426 is

LCM of Numerators i.e. for 549,357,535 is 34952085

GCF of denominators i.e. for 786,300,426 is 6.

Thus, LCM of Fractions is 34952085/6.Finally, LCM of Fractions for 549/786, 357/300, 535/426 is 34952085/6.