Least Common Multiple of 70/945, 24/816, 691/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/945, 24/816, 691/901 quickly i.e. 580440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/945, 24/816, 691/901 is 580440.

LCM(70/945, 24/816, 691/901) = 580440

LCM of 70/945, 24/816, 691/901

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 70/945,24/816,691/901

Given numbers are 70/945,24/816,691/901

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 70,24,691

Least Common Multiple of Numerators i.e. LCM of 70,24,691 is 580440.

GCF of Denominators means GCF of 945,816,901 as per the given fractions.

GCF of 945,816,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,24,691

LCM of Fractions 70/945,24/816,691/901 is 580440

2 70, 24, 691
35, 12, 691

∴ So the LCM of the given numbers is 2 x 35 x 12 x 691 = 580440

Least Common Multiple of 70,24,691 with GCF Formula

Least Common Multiple of 70,24,691 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 70,24,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,24,691) = 1

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

GCF(70,24,691) x common factors =1 x 2 = 2

LCM(70,24,691) = ( 70 × 24 × 691 ) / 2

LCM(70,24,691) = 1160880 / 2

LCM(70,24,691) = 580440


Lets's calculate GCF of 945,816,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580440/1

Therefore the LCM of Fractions 70/945,24/816,691/901 is 580440

Greatest Common Factor of 945,816,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,816,901 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 945,816,901 . The biggest common factor number is the GCF number.
So the greatest common factor 945,816,901 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 70/945, 24/816, 691/901

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 70/945, 24/816, 691/901?

Answer: LCM of Numerators as per given numbers 70/945, 24/816, 691/901 is

LCM of Numerators i.e. for 70,24,691 is 580440

GCF of denominators i.e. for 945,816,901 is 1.

Thus, LCM of Fractions is 580440.Finally, LCM of Fractions for 70/945, 24/816, 691/901 is 580440.