Least Common Multiple of 4/708, 88/784, 37/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/708, 88/784, 37/422 quickly i.e. 1628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/708, 88/784, 37/422 is 1628.

LCM(4/708, 88/784, 37/422) = 1628

LCM of 4/708, 88/784, 37/422

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 4/708,88/784,37/422

Given numbers are 4/708,88/784,37/422

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 4,88,37

Least Common Multiple of Numerators i.e. LCM of 4,88,37 is 3256.

GCF of Denominators means GCF of 708,784,422 as per the given fractions.

GCF of 708,784,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,88,37

LCM of Fractions 4/708,88/784,37/422 is 1628

2 4, 88, 37
2 2, 44, 37
1, 22, 37

∴ So the LCM of the given numbers is 2 x 2 x 1 x 22 x 37 = 3256

Least Common Multiple of 4,88,37 with GCF Formula

Least Common Multiple of 4,88,37 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 4,88,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,88,37) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(4,88,37) x common factors =1 x 4 = 4

LCM(4,88,37) = ( 4 × 88 × 37 ) / 4

LCM(4,88,37) = 13024 / 4

LCM(4,88,37) = 3256


Lets's calculate GCF of 708,784,422

2 708, 784, 422
354, 392, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3256/2

Therefore the LCM of Fractions 4/708,88/784,37/422 is 1628

Greatest Common Factor of 708,784,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,784,422 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

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

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 708,784,422 . The biggest common factor number is the GCF number.
So the greatest common factor 708,784,422 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4/708, 88/784, 37/422

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 4/708, 88/784, 37/422?

Answer: LCM of Numerators as per given numbers 4/708, 88/784, 37/422 is

LCM of Numerators i.e. for 4,88,37 is 3256

GCF of denominators i.e. for 708,784,422 is 2.

Thus, LCM of Fractions is 1628.Finally, LCM of Fractions for 4/708, 88/784, 37/422 is 1628.