Least Common Multiple of 898/491, 345/697, 960/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 898/491, 345/697, 960/222 quickly i.e. 9913920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/491, 345/697, 960/222 is 9913920.

LCM(898/491, 345/697, 960/222) = 9913920

LCM of 898/491, 345/697, 960/222

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 898/491,345/697,960/222

Given numbers are 898/491,345/697,960/222

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 898,345,960

Least Common Multiple of Numerators i.e. LCM of 898,345,960 is 9913920.

GCF of Denominators means GCF of 491,697,222 as per the given fractions.

GCF of 491,697,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,345,960

LCM of Fractions 898/491,345/697,960/222 is 9913920

2 898, 345, 960
3 449, 345, 480
5 449, 115, 160
449, 23, 32

∴ So the LCM of the given numbers is 2 x 3 x 5 x 449 x 23 x 32 = 9913920

Least Common Multiple of 898,345,960 with GCF Formula

Least Common Multiple of 898,345,960 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 898,345,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,345,960) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(898,345,960) x common factors =1 x 30 = 30

LCM(898,345,960) = ( 898 × 345 × 960 ) / 30

LCM(898,345,960) = 297417600 / 30

LCM(898,345,960) = 9913920


Lets's calculate GCF of 491,697,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9913920/1

Therefore the LCM of Fractions 898/491,345/697,960/222 is 9913920

Greatest Common Factor of 491,697,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,697,222 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 222

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

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

Greatest Common Factor

We found the factors 491,697,222 . The biggest common factor number is the GCF number.
So the greatest common factor 491,697,222 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 898/491, 345/697, 960/222

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 898/491, 345/697, 960/222?

Answer: LCM of Numerators as per given numbers 898/491, 345/697, 960/222 is

LCM of Numerators i.e. for 898,345,960 is 9913920

GCF of denominators i.e. for 491,697,222 is 1.

Thus, LCM of Fractions is 9913920.Finally, LCM of Fractions for 898/491, 345/697, 960/222 is 9913920.