Least Common Multiple of 964/60, 226/48, 683/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/60, 226/48, 683/798 quickly i.e. 74400556/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/60, 226/48, 683/798 is 74400556/6.

LCM(964/60, 226/48, 683/798) = 74400556/6

LCM of 964/60, 226/48, 683/798

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 964/60,226/48,683/798

Given numbers are 964/60,226/48,683/798

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 964,226,683

Least Common Multiple of Numerators i.e. LCM of 964,226,683 is 74400556.

GCF of Denominators means GCF of 60,48,798 as per the given fractions.

GCF of 60,48,798 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,226,683

LCM of Fractions 964/60,226/48,683/798 is 74400556/6

2 964, 226, 683
482, 113, 683

∴ So the LCM of the given numbers is 2 x 482 x 113 x 683 = 74400556

Least Common Multiple of 964,226,683 with GCF Formula

Least Common Multiple of 964,226,683 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 964,226,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,226,683) = 1

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

GCF(964,226,683) x common factors =1 x 2 = 2

LCM(964,226,683) = ( 964 × 226 × 683 ) / 2

LCM(964,226,683) = 148801112 / 2

LCM(964,226,683) = 74400556


Lets's calculate GCF of 60,48,798

2 60, 48, 798
3 30, 24, 399
10, 8, 133

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74400556/6

Therefore the LCM of Fractions 964/60,226/48,683/798 is 74400556/6

Greatest Common Factor of 60,48,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,48,798 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 60,48,798 . The biggest common factor number is the GCF number.
So the greatest common factor 60,48,798 is 6.


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 964/60, 226/48, 683/798

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 964/60, 226/48, 683/798?

Answer: LCM of Numerators as per given numbers 964/60, 226/48, 683/798 is

LCM of Numerators i.e. for 964,226,683 is 74400556

GCF of denominators i.e. for 60,48,798 is 6.

Thus, LCM of Fractions is 74400556/6.Finally, LCM of Fractions for 964/60, 226/48, 683/798 is 74400556/6.