Least Common Multiple of 700/808, 6176/3056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/808, 6176/3056 quickly i.e. 135100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/808, 6176/3056 is 135100.

LCM(700/808, 6176/3056) = 135100

LCM of 700/808, 6176/3056

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 700/808,6176/3056

Given numbers are 700/808,6176/3056

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 700,6176

Least Common Multiple of Numerators i.e. LCM of 700,6176 is 1080800.

GCF of Denominators means GCF of 808,3056 as per the given fractions.

GCF of 808,3056 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,6176

LCM of Fractions 700/808,6176/3056 is 135100

2 700, 6176
2 350, 3088
175, 1544

∴ So the LCM of the given numbers is 2 x 2 x 175 x 1544 = 1080800

Least Common Multiple of 700,6176 with GCF Formula

Least Common Multiple of 700,6176 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 700,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,6176) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(700,6176) x common factors =4 x 1 = 4

LCM(700,6176) = ( 700 × 6176 ) / 4

LCM(700,6176) = 4323200 / 4

LCM(700,6176) = 1080800


Lets's calculate GCF of 808,3056

2 808, 3056
2 404, 1528
2 202, 764
101, 382

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080800/8

Therefore the LCM of Fractions 700/808,6176/3056 is 135100

Greatest Common Factor of 808,3056 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,3056 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 3056

List of positive integer factors of 3056 that divides 3056 without a remainder.

1,2,4,8,16,191,382,764,1528,3056

Greatest Common Factor

We found the factors 808,3056 . The biggest common factor number is the GCF number.
So the greatest common factor 808,3056 is 8.


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 700/808, 6176/3056

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 700/808, 6176/3056?

Answer: LCM of Numerators as per given numbers 700/808, 6176/3056 is

LCM of Numerators i.e. for 700,6176 is 1080800

GCF of denominators i.e. for 808,3056 is 8.

Thus, LCM of Fractions is 135100.Finally, LCM of Fractions for 700/808, 6176/3056 is 135100.