Least Common Multiple of 860/74, 268/23, 649/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 860/74, 268/23, 649/991 quickly i.e. 37395380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/74, 268/23, 649/991 is 37395380.

LCM(860/74, 268/23, 649/991) = 37395380

LCM of 860/74, 268/23, 649/991

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 860/74,268/23,649/991

Given numbers are 860/74,268/23,649/991

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 860,268,649

Least Common Multiple of Numerators i.e. LCM of 860,268,649 is 37395380.

GCF of Denominators means GCF of 74,23,991 as per the given fractions.

GCF of 74,23,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,268,649

LCM of Fractions 860/74,268/23,649/991 is 37395380

2 860, 268, 649
2 430, 134, 649
215, 67, 649

∴ So the LCM of the given numbers is 2 x 2 x 215 x 67 x 649 = 37395380

Least Common Multiple of 860,268,649 with GCF Formula

Least Common Multiple of 860,268,649 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 860,268,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,268,649) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(860,268,649) x common factors =1 x 4 = 4

LCM(860,268,649) = ( 860 × 268 × 649 ) / 4

LCM(860,268,649) = 149581520 / 4

LCM(860,268,649) = 37395380


Lets's calculate GCF of 74,23,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37395380/1

Therefore the LCM of Fractions 860/74,268/23,649/991 is 37395380

Greatest Common Factor of 74,23,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,23,991 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 74,23,991 . The biggest common factor number is the GCF number.
So the greatest common factor 74,23,991 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 860/74, 268/23, 649/991

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 860/74, 268/23, 649/991?

Answer: LCM of Numerators as per given numbers 860/74, 268/23, 649/991 is

LCM of Numerators i.e. for 860,268,649 is 37395380

GCF of denominators i.e. for 74,23,991 is 1.

Thus, LCM of Fractions is 37395380.Finally, LCM of Fractions for 860/74, 268/23, 649/991 is 37395380.