Least Common Multiple of 849/552, 518/787, 788/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/552, 518/787, 788/643 quickly i.e. 173274108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/552, 518/787, 788/643 is 173274108.

LCM(849/552, 518/787, 788/643) = 173274108

LCM of 849/552, 518/787, 788/643

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 849/552,518/787,788/643

Given numbers are 849/552,518/787,788/643

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 849,518,788

Least Common Multiple of Numerators i.e. LCM of 849,518,788 is 173274108.

GCF of Denominators means GCF of 552,787,643 as per the given fractions.

GCF of 552,787,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,518,788

LCM of Fractions 849/552,518/787,788/643 is 173274108

2 849, 518, 788
849, 259, 394

∴ So the LCM of the given numbers is 2 x 849 x 259 x 394 = 173274108

Least Common Multiple of 849,518,788 with GCF Formula

Least Common Multiple of 849,518,788 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 849,518,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,518,788) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(849,518,788) x common factors =1 x 2 = 2

LCM(849,518,788) = ( 849 × 518 × 788 ) / 2

LCM(849,518,788) = 346548216 / 2

LCM(849,518,788) = 173274108


Lets's calculate GCF of 552,787,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173274108/1

Therefore the LCM of Fractions 849/552,518/787,788/643 is 173274108

Greatest Common Factor of 552,787,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,787,643 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 552,787,643 . The biggest common factor number is the GCF number.
So the greatest common factor 552,787,643 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 849/552, 518/787, 788/643

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 849/552, 518/787, 788/643?

Answer: LCM of Numerators as per given numbers 849/552, 518/787, 788/643 is

LCM of Numerators i.e. for 849,518,788 is 173274108

GCF of denominators i.e. for 552,787,643 is 1.

Thus, LCM of Fractions is 173274108.Finally, LCM of Fractions for 849/552, 518/787, 788/643 is 173274108.