Least Common Multiple of 71/774, 570/222, 875/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/774, 570/222, 875/690 quickly i.e. 1180375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/774, 570/222, 875/690 is 1180375.

LCM(71/774, 570/222, 875/690) = 1180375

LCM of 71/774, 570/222, 875/690

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 71/774,570/222,875/690

Given numbers are 71/774,570/222,875/690

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 71,570,875

Least Common Multiple of Numerators i.e. LCM of 71,570,875 is 7082250.

GCF of Denominators means GCF of 774,222,690 as per the given fractions.

GCF of 774,222,690 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,570,875

LCM of Fractions 71/774,570/222,875/690 is 1180375

5 71, 570, 875
71, 114, 175

∴ So the LCM of the given numbers is 5 x 71 x 114 x 175 = 7082250

Least Common Multiple of 71,570,875 with GCF Formula

Least Common Multiple of 71,570,875 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 71,570,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,570,875) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(71,570,875) x common factors =1 x 5 = 5

LCM(71,570,875) = ( 71 × 570 × 875 ) / 5

LCM(71,570,875) = 35411250 / 5

LCM(71,570,875) = 7082250


Lets's calculate GCF of 774,222,690

2 774, 222, 690
3 387, 111, 345
129, 37, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7082250/6

Therefore the LCM of Fractions 71/774,570/222,875/690 is 1180375

Greatest Common Factor of 774,222,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,222,690 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 774,222,690 . The biggest common factor number is the GCF number.
So the greatest common factor 774,222,690 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 71/774, 570/222, 875/690

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 71/774, 570/222, 875/690?

Answer: LCM of Numerators as per given numbers 71/774, 570/222, 875/690 is

LCM of Numerators i.e. for 71,570,875 is 7082250

GCF of denominators i.e. for 774,222,690 is 6.

Thus, LCM of Fractions is 1180375.Finally, LCM of Fractions for 71/774, 570/222, 875/690 is 1180375.