Least Common Multiple of 859/59, 448/77, 920/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 859/59, 448/77, 920/663 quickly i.e. 44255680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/59, 448/77, 920/663 is 44255680.

LCM(859/59, 448/77, 920/663) = 44255680

LCM of 859/59, 448/77, 920/663

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 859/59,448/77,920/663

Given numbers are 859/59,448/77,920/663

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 859,448,920

Least Common Multiple of Numerators i.e. LCM of 859,448,920 is 44255680.

GCF of Denominators means GCF of 59,77,663 as per the given fractions.

GCF of 59,77,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,448,920

LCM of Fractions 859/59,448/77,920/663 is 44255680

2 859, 448, 920
2 859, 224, 460
2 859, 112, 230
859, 56, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 859 x 56 x 115 = 44255680

Least Common Multiple of 859,448,920 with GCF Formula

Least Common Multiple of 859,448,920 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 859,448,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,448,920) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(859,448,920) x common factors =1 x 8 = 8

LCM(859,448,920) = ( 859 × 448 × 920 ) / 8

LCM(859,448,920) = 354045440 / 8

LCM(859,448,920) = 44255680


Lets's calculate GCF of 59,77,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44255680/1

Therefore the LCM of Fractions 859/59,448/77,920/663 is 44255680

Greatest Common Factor of 59,77,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,77,663 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 77

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

1,7,11,77

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 59,77,663 . The biggest common factor number is the GCF number.
So the greatest common factor 59,77,663 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 859/59, 448/77, 920/663

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 859/59, 448/77, 920/663?

Answer: LCM of Numerators as per given numbers 859/59, 448/77, 920/663 is

LCM of Numerators i.e. for 859,448,920 is 44255680

GCF of denominators i.e. for 59,77,663 is 1.

Thus, LCM of Fractions is 44255680.Finally, LCM of Fractions for 859/59, 448/77, 920/663 is 44255680.