Least Common Multiple of 708/790, 553/944, 790/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/790, 553/944, 790/784 quickly i.e. 978810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/790, 553/944, 790/784 is 978810.

LCM(708/790, 553/944, 790/784) = 978810

LCM of 708/790, 553/944, 790/784

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 708/790,553/944,790/784

Given numbers are 708/790,553/944,790/784

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 708,553,790

Least Common Multiple of Numerators i.e. LCM of 708,553,790 is 1957620.

GCF of Denominators means GCF of 790,944,784 as per the given fractions.

GCF of 790,944,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,553,790

LCM of Fractions 708/790,553/944,790/784 is 978810

2 708, 553, 790
79 354, 553, 395
354, 7, 5

∴ So the LCM of the given numbers is 2 x 79 x 354 x 7 x 5 = 1957620

Least Common Multiple of 708,553,790 with GCF Formula

Least Common Multiple of 708,553,790 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 708,553,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,553,790) = 1

common factors(in case of two or more numbers have common factors) = 158

GCF(708,553,790) x common factors =1 x 158 = 158

LCM(708,553,790) = ( 708 × 553 × 790 ) / 158

LCM(708,553,790) = 309303960 / 158

LCM(708,553,790) = 1957620


Lets's calculate GCF of 790,944,784

2 790, 944, 784
395, 472, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1957620/2

Therefore the LCM of Fractions 708/790,553/944,790/784 is 978810

Greatest Common Factor of 790,944,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,944,784 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 790,944,784 . The biggest common factor number is the GCF number.
So the greatest common factor 790,944,784 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 708/790, 553/944, 790/784

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 708/790, 553/944, 790/784?

Answer: LCM of Numerators as per given numbers 708/790, 553/944, 790/784 is

LCM of Numerators i.e. for 708,553,790 is 1957620

GCF of denominators i.e. for 790,944,784 is 2.

Thus, LCM of Fractions is 978810.Finally, LCM of Fractions for 708/790, 553/944, 790/784 is 978810.