Least Common Multiple of 784/356, 4729/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 784/356, 4729/888 quickly i.e. 926884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/356, 4729/888 is 926884.

LCM(784/356, 4729/888) = 926884

LCM of 784/356, 4729/888

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 784/356,4729/888

Given numbers are 784/356,4729/888

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 784,4729

Least Common Multiple of Numerators i.e. LCM of 784,4729 is 3707536.

GCF of Denominators means GCF of 356,888 as per the given fractions.

GCF of 356,888 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,4729

LCM of Fractions 784/356,4729/888 is 926884

Given numbers has no common factors except 1. So, there LCM is their product i.e 3707536

Least Common Multiple of 784,4729 with GCF Formula

Least Common Multiple of 784,4729 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 784,4729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,4729) = 1

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

GCF(784,4729) x common factors =1 x 1 = 1

LCM(784,4729) = ( 784 × 4729 ) / 1

LCM(784,4729) = 3707536 / 1

LCM(784,4729) = 3707536


Lets's calculate GCF of 356,888

2 356, 888
2 178, 444
89, 222

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3707536/4

Therefore the LCM of Fractions 784/356,4729/888 is 926884

Greatest Common Factor of 356,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,888 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 356,888 . The biggest common factor number is the GCF number.
So the greatest common factor 356,888 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 784/356, 4729/888

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 784/356, 4729/888?

Answer: LCM of Numerators as per given numbers 784/356, 4729/888 is

LCM of Numerators i.e. for 784,4729 is 3707536

GCF of denominators i.e. for 356,888 is 4.

Thus, LCM of Fractions is 926884.Finally, LCM of Fractions for 784/356, 4729/888 is 926884.