Least Common Multiple of 559/329, 562/760, 910/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/329, 562/760, 910/977 quickly i.e. 10995530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/329, 562/760, 910/977 is 10995530.

LCM(559/329, 562/760, 910/977) = 10995530

LCM of 559/329, 562/760, 910/977

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 559/329,562/760,910/977

Given numbers are 559/329,562/760,910/977

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 559,562,910

Least Common Multiple of Numerators i.e. LCM of 559,562,910 is 10995530.

GCF of Denominators means GCF of 329,760,977 as per the given fractions.

GCF of 329,760,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,562,910

LCM of Fractions 559/329,562/760,910/977 is 10995530

2 559, 562, 910
13 559, 281, 455
43, 281, 35

∴ So the LCM of the given numbers is 2 x 13 x 43 x 281 x 35 = 10995530

Least Common Multiple of 559,562,910 with GCF Formula

Least Common Multiple of 559,562,910 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 559,562,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,562,910) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(559,562,910) x common factors =1 x 26 = 26

LCM(559,562,910) = ( 559 × 562 × 910 ) / 26

LCM(559,562,910) = 285883780 / 26

LCM(559,562,910) = 10995530


Lets's calculate GCF of 329,760,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10995530/1

Therefore the LCM of Fractions 559/329,562/760,910/977 is 10995530

Greatest Common Factor of 329,760,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,760,977 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 329,760,977 . The biggest common factor number is the GCF number.
So the greatest common factor 329,760,977 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 559/329, 562/760, 910/977

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 559/329, 562/760, 910/977?

Answer: LCM of Numerators as per given numbers 559/329, 562/760, 910/977 is

LCM of Numerators i.e. for 559,562,910 is 10995530

GCF of denominators i.e. for 329,760,977 is 1.

Thus, LCM of Fractions is 10995530.Finally, LCM of Fractions for 559/329, 562/760, 910/977 is 10995530.