Least Common Multiple of 374/86, 733/77, 561/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/86, 733/77, 561/858 quickly i.e. 822426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/86, 733/77, 561/858 is 822426.

LCM(374/86, 733/77, 561/858) = 822426

LCM of 374/86, 733/77, 561/858

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 374/86,733/77,561/858

Given numbers are 374/86,733/77,561/858

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 374,733,561

Least Common Multiple of Numerators i.e. LCM of 374,733,561 is 822426.

GCF of Denominators means GCF of 86,77,858 as per the given fractions.

GCF of 86,77,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,733,561

LCM of Fractions 374/86,733/77,561/858 is 822426

11 374, 733, 561
17 34, 733, 51
2, 733, 3

∴ So the LCM of the given numbers is 11 x 17 x 2 x 733 x 3 = 822426

Least Common Multiple of 374,733,561 with GCF Formula

Least Common Multiple of 374,733,561 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 374,733,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,733,561) = 1

common factors(in case of two or more numbers have common factors) = 187

GCF(374,733,561) x common factors =1 x 187 = 187

LCM(374,733,561) = ( 374 × 733 × 561 ) / 187

LCM(374,733,561) = 153793662 / 187

LCM(374,733,561) = 822426


Lets's calculate GCF of 86,77,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 822426/1

Therefore the LCM of Fractions 374/86,733/77,561/858 is 822426

Greatest Common Factor of 86,77,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,77,858 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 86,77,858 . The biggest common factor number is the GCF number.
So the greatest common factor 86,77,858 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 374/86, 733/77, 561/858

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 374/86, 733/77, 561/858?

Answer: LCM of Numerators as per given numbers 374/86, 733/77, 561/858 is

LCM of Numerators i.e. for 374,733,561 is 822426

GCF of denominators i.e. for 86,77,858 is 1.

Thus, LCM of Fractions is 822426.Finally, LCM of Fractions for 374/86, 733/77, 561/858 is 822426.