Least Common Multiple of 691/222, 306/430, 759/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/222, 306/430, 759/870 quickly i.e. 26747919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/222, 306/430, 759/870 is 26747919.

LCM(691/222, 306/430, 759/870) = 26747919

LCM of 691/222, 306/430, 759/870

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 691/222,306/430,759/870

Given numbers are 691/222,306/430,759/870

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 691,306,759

Least Common Multiple of Numerators i.e. LCM of 691,306,759 is 53495838.

GCF of Denominators means GCF of 222,430,870 as per the given fractions.

GCF of 222,430,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,306,759

LCM of Fractions 691/222,306/430,759/870 is 26747919

3 691, 306, 759
691, 102, 253

∴ So the LCM of the given numbers is 3 x 691 x 102 x 253 = 53495838

Least Common Multiple of 691,306,759 with GCF Formula

Least Common Multiple of 691,306,759 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 691,306,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,306,759) = 1

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

GCF(691,306,759) x common factors =1 x 3 = 3

LCM(691,306,759) = ( 691 × 306 × 759 ) / 3

LCM(691,306,759) = 160487514 / 3

LCM(691,306,759) = 53495838


Lets's calculate GCF of 222,430,870

2 222, 430, 870
111, 215, 435

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53495838/2

Therefore the LCM of Fractions 691/222,306/430,759/870 is 26747919

Greatest Common Factor of 222,430,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,430,870 By Matching Biggest Common Factor Method

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 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 222,430,870 . The biggest common factor number is the GCF number.
So the greatest common factor 222,430,870 is 2.


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 691/222, 306/430, 759/870

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 691/222, 306/430, 759/870?

Answer: LCM of Numerators as per given numbers 691/222, 306/430, 759/870 is

LCM of Numerators i.e. for 691,306,759 is 53495838

GCF of denominators i.e. for 222,430,870 is 2.

Thus, LCM of Fractions is 26747919.Finally, LCM of Fractions for 691/222, 306/430, 759/870 is 26747919.