Least Common Multiple of 549/945, 715/706, 234/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/945, 715/706, 234/722 quickly i.e. 785070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/945, 715/706, 234/722 is 785070.

LCM(549/945, 715/706, 234/722) = 785070

LCM of 549/945, 715/706, 234/722

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 549/945,715/706,234/722

Given numbers are 549/945,715/706,234/722

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 549,715,234

Least Common Multiple of Numerators i.e. LCM of 549,715,234 is 785070.

GCF of Denominators means GCF of 945,706,722 as per the given fractions.

GCF of 945,706,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,715,234

LCM of Fractions 549/945,715/706,234/722 is 785070

3 549, 715, 234
3 183, 715, 78
13 61, 715, 26
61, 55, 2

∴ So the LCM of the given numbers is 3 x 3 x 13 x 61 x 55 x 2 = 785070

Least Common Multiple of 549,715,234 with GCF Formula

Least Common Multiple of 549,715,234 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 549,715,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,715,234) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(549,715,234) x common factors =1 x 117 = 117

LCM(549,715,234) = ( 549 × 715 × 234 ) / 117

LCM(549,715,234) = 91853190 / 117

LCM(549,715,234) = 785070


Lets's calculate GCF of 945,706,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785070/1

Therefore the LCM of Fractions 549/945,715/706,234/722 is 785070

Greatest Common Factor of 945,706,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,706,722 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 945,706,722 . The biggest common factor number is the GCF number.
So the greatest common factor 945,706,722 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 549/945, 715/706, 234/722

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 549/945, 715/706, 234/722?

Answer: LCM of Numerators as per given numbers 549/945, 715/706, 234/722 is

LCM of Numerators i.e. for 549,715,234 is 785070

GCF of denominators i.e. for 945,706,722 is 1.

Thus, LCM of Fractions is 785070.Finally, LCM of Fractions for 549/945, 715/706, 234/722 is 785070.