Least Common Multiple of 102/898, 719/884, 696/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/898, 719/884, 696/364 quickly i.e. 4253604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/898, 719/884, 696/364 is 4253604.

LCM(102/898, 719/884, 696/364) = 4253604

LCM of 102/898, 719/884, 696/364

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 102/898,719/884,696/364

Given numbers are 102/898,719/884,696/364

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 102,719,696

Least Common Multiple of Numerators i.e. LCM of 102,719,696 is 8507208.

GCF of Denominators means GCF of 898,884,364 as per the given fractions.

GCF of 898,884,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,719,696

LCM of Fractions 102/898,719/884,696/364 is 4253604

2 102, 719, 696
3 51, 719, 348
17, 719, 116

∴ So the LCM of the given numbers is 2 x 3 x 17 x 719 x 116 = 8507208

Least Common Multiple of 102,719,696 with GCF Formula

Least Common Multiple of 102,719,696 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 102,719,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,719,696) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(102,719,696) x common factors =1 x 6 = 6

LCM(102,719,696) = ( 102 × 719 × 696 ) / 6

LCM(102,719,696) = 51043248 / 6

LCM(102,719,696) = 8507208


Lets's calculate GCF of 898,884,364

2 898, 884, 364
449, 442, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8507208/2

Therefore the LCM of Fractions 102/898,719/884,696/364 is 4253604

Greatest Common Factor of 898,884,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,884,364 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 898,884,364 . The biggest common factor number is the GCF number.
So the greatest common factor 898,884,364 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 102/898, 719/884, 696/364

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 102/898, 719/884, 696/364?

Answer: LCM of Numerators as per given numbers 102/898, 719/884, 696/364 is

LCM of Numerators i.e. for 102,719,696 is 8507208

GCF of denominators i.e. for 898,884,364 is 2.

Thus, LCM of Fractions is 4253604.Finally, LCM of Fractions for 102/898, 719/884, 696/364 is 4253604.