Least Common Multiple of 706/649, 2770/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/649, 2770/575 quickly i.e. 977810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/649, 2770/575 is 977810.

LCM(706/649, 2770/575) = 977810

LCM of 706/649, 2770/575

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 706/649,2770/575

Given numbers are 706/649,2770/575

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 706,2770

Least Common Multiple of Numerators i.e. LCM of 706,2770 is 977810.

GCF of Denominators means GCF of 649,575 as per the given fractions.

GCF of 649,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,2770

LCM of Fractions 706/649,2770/575 is 977810

2 706, 2770
353, 1385

∴ So the LCM of the given numbers is 2 x 353 x 1385 = 977810

Least Common Multiple of 706,2770 with GCF Formula

Least Common Multiple of 706,2770 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 706,2770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,2770) = 2

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

GCF(706,2770) x common factors =2 x 1 = 2

LCM(706,2770) = ( 706 × 2770 ) / 2

LCM(706,2770) = 1955620 / 2

LCM(706,2770) = 977810


Lets's calculate GCF of 649,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 977810/1

Therefore the LCM of Fractions 706/649,2770/575 is 977810

Greatest Common Factor of 649,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,575 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 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 649,575 . The biggest common factor number is the GCF number.
So the greatest common factor 649,575 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 706/649, 2770/575

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 706/649, 2770/575?

Answer: LCM of Numerators as per given numbers 706/649, 2770/575 is

LCM of Numerators i.e. for 706,2770 is 977810

GCF of denominators i.e. for 649,575 is 1.

Thus, LCM of Fractions is 977810.Finally, LCM of Fractions for 706/649, 2770/575 is 977810.