Least Common Multiple of 551/64, 874/31, 782/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 551/64, 874/31, 782/45 quickly i.e. 430882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 551/64, 874/31, 782/45 is 430882.

LCM(551/64, 874/31, 782/45) = 430882

LCM of 551/64, 874/31, 782/45

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 551/64,874/31,782/45

Given numbers are 551/64,874/31,782/45

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 551,874,782

Least Common Multiple of Numerators i.e. LCM of 551,874,782 is 430882.

GCF of Denominators means GCF of 64,31,45 as per the given fractions.

GCF of 64,31,45 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 551,874,782

LCM of Fractions 551/64,874/31,782/45 is 430882

2 551, 874, 782
19 551, 437, 391
23 29, 23, 391
29, 1, 17

∴ So the LCM of the given numbers is 2 x 19 x 23 x 29 x 1 x 17 = 430882

Least Common Multiple of 551,874,782 with GCF Formula

Least Common Multiple of 551,874,782 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 551,874,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,874,782) = 1

common factors(in case of two or more numbers have common factors) = 874

GCF(551,874,782) x common factors =1 x 874 = 874

LCM(551,874,782) = ( 551 × 874 × 782 ) / 874

LCM(551,874,782) = 376590868 / 874

LCM(551,874,782) = 430882


Lets's calculate GCF of 64,31,45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430882/1

Therefore the LCM of Fractions 551/64,874/31,782/45 is 430882

Greatest Common Factor of 64,31,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,31,45 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 64,31,45 . The biggest common factor number is the GCF number.
So the greatest common factor 64,31,45 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 551/64, 874/31, 782/45

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 551/64, 874/31, 782/45?

Answer: LCM of Numerators as per given numbers 551/64, 874/31, 782/45 is

LCM of Numerators i.e. for 551,874,782 is 430882

GCF of denominators i.e. for 64,31,45 is 1.

Thus, LCM of Fractions is 430882.Finally, LCM of Fractions for 551/64, 874/31, 782/45 is 430882.