Least Common Multiple of 549/10, 277/61, 699/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/10, 277/61, 699/702 quickly i.e. 35433009 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/10, 277/61, 699/702 is 35433009.

LCM(549/10, 277/61, 699/702) = 35433009

LCM of 549/10, 277/61, 699/702

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 549/10,277/61,699/702

Given numbers are 549/10,277/61,699/702

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 549,277,699

Least Common Multiple of Numerators i.e. LCM of 549,277,699 is 35433009.

GCF of Denominators means GCF of 10,61,702 as per the given fractions.

GCF of 10,61,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,277,699

LCM of Fractions 549/10,277/61,699/702 is 35433009

3 549, 277, 699
183, 277, 233

∴ So the LCM of the given numbers is 3 x 183 x 277 x 233 = 35433009

Least Common Multiple of 549,277,699 with GCF Formula

Least Common Multiple of 549,277,699 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 549,277,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,277,699) = 1

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

GCF(549,277,699) x common factors =1 x 3 = 3

LCM(549,277,699) = ( 549 × 277 × 699 ) / 3

LCM(549,277,699) = 106299027 / 3

LCM(549,277,699) = 35433009


Lets's calculate GCF of 10,61,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35433009/1

Therefore the LCM of Fractions 549/10,277/61,699/702 is 35433009

Greatest Common Factor of 10,61,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,61,702 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 10,61,702 . The biggest common factor number is the GCF number.
So the greatest common factor 10,61,702 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 549/10, 277/61, 699/702

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 549/10, 277/61, 699/702?

Answer: LCM of Numerators as per given numbers 549/10, 277/61, 699/702 is

LCM of Numerators i.e. for 549,277,699 is 35433009

GCF of denominators i.e. for 10,61,702 is 1.

Thus, LCM of Fractions is 35433009.Finally, LCM of Fractions for 549/10, 277/61, 699/702 is 35433009.