Least Common Multiple of 64/993, 30/689, 882/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/993, 30/689, 882/930 quickly i.e. 141120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/993, 30/689, 882/930 is 141120.

LCM(64/993, 30/689, 882/930) = 141120

LCM of 64/993, 30/689, 882/930

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 64/993,30/689,882/930

Given numbers are 64/993,30/689,882/930

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 64,30,882

Least Common Multiple of Numerators i.e. LCM of 64,30,882 is 141120.

GCF of Denominators means GCF of 993,689,930 as per the given fractions.

GCF of 993,689,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,30,882

LCM of Fractions 64/993,30/689,882/930 is 141120

2 64, 30, 882
3 32, 15, 441
32, 5, 147

∴ So the LCM of the given numbers is 2 x 3 x 32 x 5 x 147 = 141120

Least Common Multiple of 64,30,882 with GCF Formula

Least Common Multiple of 64,30,882 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 64,30,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,30,882) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(64,30,882) x common factors =2 x 6 = 12

LCM(64,30,882) = ( 64 × 30 × 882 ) / 12

LCM(64,30,882) = 1693440 / 12

LCM(64,30,882) = 141120


Lets's calculate GCF of 993,689,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141120/1

Therefore the LCM of Fractions 64/993,30/689,882/930 is 141120

Greatest Common Factor of 993,689,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,689,930 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 993,689,930 . The biggest common factor number is the GCF number.
So the greatest common factor 993,689,930 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 64/993, 30/689, 882/930

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 64/993, 30/689, 882/930?

Answer: LCM of Numerators as per given numbers 64/993, 30/689, 882/930 is

LCM of Numerators i.e. for 64,30,882 is 141120

GCF of denominators i.e. for 993,689,930 is 1.

Thus, LCM of Fractions is 141120.Finally, LCM of Fractions for 64/993, 30/689, 882/930 is 141120.