Least Common Multiple of 45/693, 26/915, 574/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/693, 26/915, 574/807 quickly i.e. 111930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/693, 26/915, 574/807 is 111930.

LCM(45/693, 26/915, 574/807) = 111930

LCM of 45/693, 26/915, 574/807

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 45/693,26/915,574/807

Given numbers are 45/693,26/915,574/807

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 45,26,574

Least Common Multiple of Numerators i.e. LCM of 45,26,574 is 335790.

GCF of Denominators means GCF of 693,915,807 as per the given fractions.

GCF of 693,915,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,26,574

LCM of Fractions 45/693,26/915,574/807 is 111930

2 45, 26, 574
45, 13, 287

∴ So the LCM of the given numbers is 2 x 45 x 13 x 287 = 335790

Least Common Multiple of 45,26,574 with GCF Formula

Least Common Multiple of 45,26,574 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 45,26,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,26,574) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(45,26,574) x common factors =1 x 2 = 2

LCM(45,26,574) = ( 45 × 26 × 574 ) / 2

LCM(45,26,574) = 671580 / 2

LCM(45,26,574) = 335790


Lets's calculate GCF of 693,915,807

3 693, 915, 807
231, 305, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335790/3

Therefore the LCM of Fractions 45/693,26/915,574/807 is 111930

Greatest Common Factor of 693,915,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,915,807 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 693,915,807 . The biggest common factor number is the GCF number.
So the greatest common factor 693,915,807 is 3.


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 45/693, 26/915, 574/807

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 45/693, 26/915, 574/807?

Answer: LCM of Numerators as per given numbers 45/693, 26/915, 574/807 is

LCM of Numerators i.e. for 45,26,574 is 335790

GCF of denominators i.e. for 693,915,807 is 3.

Thus, LCM of Fractions is 111930.Finally, LCM of Fractions for 45/693, 26/915, 574/807 is 111930.