Least Common Multiple of 35/56, 68/14, 61/47, 51/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/56, 68/14, 61/47, 51/784 quickly i.e. 435540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/56, 68/14, 61/47, 51/784 is 435540.

LCM(35/56, 68/14, 61/47, 51/784) = 435540

LCM of 35/56, 68/14, 61/47, 51/784

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 35/56,68/14,61/47,51/784

Given numbers are 35/56,68/14,61/47,51/784

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 35,68,61,51

Least Common Multiple of Numerators i.e. LCM of 35,68,61,51 is 435540.

GCF of Denominators means GCF of 56,14,47,784 as per the given fractions.

GCF of 56,14,47,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,68,61,51

LCM of Fractions 35/56,68/14,61/47,51/784 is 435540

17 35, 68, 61, 51
35, 4, 61, 3

∴ So the LCM of the given numbers is 17 x 35 x 4 x 61 x 3 = 435540

Least Common Multiple of 35,68,61,51 with GCF Formula

Least Common Multiple of 35,68,61,51 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 35,68,61,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,68,61,51) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(35,68,61,51) x common factors =1 x 17 = 17

LCM(35,68,61,51) = ( 35 × 68 × 61 × 51 ) / 17

LCM(35,68,61,51) = 7404180 / 17

LCM(35,68,61,51) = 435540


Lets's calculate GCF of 56,14,47,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435540/1

Therefore the LCM of Fractions 35/56,68/14,61/47,51/784 is 435540

Greatest Common Factor of 56,14,47,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,14,47,784 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

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 56,14,47,784 . The biggest common factor number is the GCF number.
So the greatest common factor 56,14,47,784 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 35/56, 68/14, 61/47, 51/784

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 35/56, 68/14, 61/47, 51/784?

Answer: LCM of Numerators as per given numbers 35/56, 68/14, 61/47, 51/784 is

LCM of Numerators i.e. for 35,68,61,51 is 435540

GCF of denominators i.e. for 56,14,47,784 is 1.

Thus, LCM of Fractions is 435540.Finally, LCM of Fractions for 35/56, 68/14, 61/47, 51/784 is 435540.