Least Common Multiple of 224/717, 870/235, 659/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/717, 870/235, 659/894 quickly i.e. 64212960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/717, 870/235, 659/894 is 64212960.

LCM(224/717, 870/235, 659/894) = 64212960

LCM of 224/717, 870/235, 659/894

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 224/717,870/235,659/894

Given numbers are 224/717,870/235,659/894

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 224,870,659

Least Common Multiple of Numerators i.e. LCM of 224,870,659 is 64212960.

GCF of Denominators means GCF of 717,235,894 as per the given fractions.

GCF of 717,235,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,870,659

LCM of Fractions 224/717,870/235,659/894 is 64212960

2 224, 870, 659
112, 435, 659

∴ So the LCM of the given numbers is 2 x 112 x 435 x 659 = 64212960

Least Common Multiple of 224,870,659 with GCF Formula

Least Common Multiple of 224,870,659 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 224,870,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,870,659) = 1

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

GCF(224,870,659) x common factors =1 x 2 = 2

LCM(224,870,659) = ( 224 × 870 × 659 ) / 2

LCM(224,870,659) = 128425920 / 2

LCM(224,870,659) = 64212960


Lets's calculate GCF of 717,235,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64212960/1

Therefore the LCM of Fractions 224/717,870/235,659/894 is 64212960

Greatest Common Factor of 717,235,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,235,894 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 717,235,894 . The biggest common factor number is the GCF number.
So the greatest common factor 717,235,894 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 224/717, 870/235, 659/894

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 224/717, 870/235, 659/894?

Answer: LCM of Numerators as per given numbers 224/717, 870/235, 659/894 is

LCM of Numerators i.e. for 224,870,659 is 64212960

GCF of denominators i.e. for 717,235,894 is 1.

Thus, LCM of Fractions is 64212960.Finally, LCM of Fractions for 224/717, 870/235, 659/894 is 64212960.