Least Common Multiple of 858/530, 948/984, 704/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/530, 948/984, 704/544 quickly i.e. 1084512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/530, 948/984, 704/544 is 1084512.

LCM(858/530, 948/984, 704/544) = 1084512

LCM of 858/530, 948/984, 704/544

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 858/530,948/984,704/544

Given numbers are 858/530,948/984,704/544

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 858,948,704

Least Common Multiple of Numerators i.e. LCM of 858,948,704 is 2169024.

GCF of Denominators means GCF of 530,984,544 as per the given fractions.

GCF of 530,984,544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,948,704

LCM of Fractions 858/530,948/984,704/544 is 1084512

2 858, 948, 704
2 429, 474, 352
3 429, 237, 176
11 143, 79, 176
13, 79, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 13 x 79 x 16 = 2169024

Least Common Multiple of 858,948,704 with GCF Formula

Least Common Multiple of 858,948,704 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 858,948,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,948,704) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(858,948,704) x common factors =2 x 132 = 264

LCM(858,948,704) = ( 858 × 948 × 704 ) / 264

LCM(858,948,704) = 572622336 / 264

LCM(858,948,704) = 2169024


Lets's calculate GCF of 530,984,544

2 530, 984, 544
265, 492, 272

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2169024/2

Therefore the LCM of Fractions 858/530,948/984,704/544 is 1084512

Greatest Common Factor of 530,984,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,984,544 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 530,984,544 . The biggest common factor number is the GCF number.
So the greatest common factor 530,984,544 is 2.


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 858/530, 948/984, 704/544

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 858/530, 948/984, 704/544?

Answer: LCM of Numerators as per given numbers 858/530, 948/984, 704/544 is

LCM of Numerators i.e. for 858,948,704 is 2169024

GCF of denominators i.e. for 530,984,544 is 2.

Thus, LCM of Fractions is 1084512.Finally, LCM of Fractions for 858/530, 948/984, 704/544 is 1084512.