Least Common Multiple of 448/651, 408/307, 562/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/651, 408/307, 562/782 quickly i.e. 6420288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/651, 408/307, 562/782 is 6420288.

LCM(448/651, 408/307, 562/782) = 6420288

LCM of 448/651, 408/307, 562/782

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 448/651,408/307,562/782

Given numbers are 448/651,408/307,562/782

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 448,408,562

Least Common Multiple of Numerators i.e. LCM of 448,408,562 is 6420288.

GCF of Denominators means GCF of 651,307,782 as per the given fractions.

GCF of 651,307,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,408,562

LCM of Fractions 448/651,408/307,562/782 is 6420288

2 448, 408, 562
2 224, 204, 281
2 112, 102, 281
56, 51, 281

∴ So the LCM of the given numbers is 2 x 2 x 2 x 56 x 51 x 281 = 6420288

Least Common Multiple of 448,408,562 with GCF Formula

Least Common Multiple of 448,408,562 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 448,408,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,408,562) = 2

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

GCF(448,408,562) x common factors =2 x 8 = 16

LCM(448,408,562) = ( 448 × 408 × 562 ) / 16

LCM(448,408,562) = 102724608 / 16

LCM(448,408,562) = 6420288


Lets's calculate GCF of 651,307,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6420288/1

Therefore the LCM of Fractions 448/651,408/307,562/782 is 6420288

Greatest Common Factor of 651,307,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,307,782 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 651,307,782 . The biggest common factor number is the GCF number.
So the greatest common factor 651,307,782 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 448/651, 408/307, 562/782

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 448/651, 408/307, 562/782?

Answer: LCM of Numerators as per given numbers 448/651, 408/307, 562/782 is

LCM of Numerators i.e. for 448,408,562 is 6420288

GCF of denominators i.e. for 651,307,782 is 1.

Thus, LCM of Fractions is 6420288.Finally, LCM of Fractions for 448/651, 408/307, 562/782 is 6420288.