Least Common Multiple of 98/560, 792/518, 834/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/560, 792/518, 834/828 quickly i.e. 2697156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/560, 792/518, 834/828 is 2697156.

LCM(98/560, 792/518, 834/828) = 2697156

LCM of 98/560, 792/518, 834/828

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 98/560,792/518,834/828

Given numbers are 98/560,792/518,834/828

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 98,792,834

Least Common Multiple of Numerators i.e. LCM of 98,792,834 is 5394312.

GCF of Denominators means GCF of 560,518,828 as per the given fractions.

GCF of 560,518,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,792,834

LCM of Fractions 98/560,792/518,834/828 is 2697156

2 98, 792, 834
3 49, 396, 417
49, 132, 139

∴ So the LCM of the given numbers is 2 x 3 x 49 x 132 x 139 = 5394312

Least Common Multiple of 98,792,834 with GCF Formula

Least Common Multiple of 98,792,834 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 98,792,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,792,834) = 2

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

GCF(98,792,834) x common factors =2 x 6 = 12

LCM(98,792,834) = ( 98 × 792 × 834 ) / 12

LCM(98,792,834) = 64731744 / 12

LCM(98,792,834) = 5394312


Lets's calculate GCF of 560,518,828

2 560, 518, 828
280, 259, 414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5394312/2

Therefore the LCM of Fractions 98/560,792/518,834/828 is 2697156

Greatest Common Factor of 560,518,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,518,828 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 560,518,828 . The biggest common factor number is the GCF number.
So the greatest common factor 560,518,828 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 98/560, 792/518, 834/828

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 98/560, 792/518, 834/828?

Answer: LCM of Numerators as per given numbers 98/560, 792/518, 834/828 is

LCM of Numerators i.e. for 98,792,834 is 5394312

GCF of denominators i.e. for 560,518,828 is 2.

Thus, LCM of Fractions is 2697156.Finally, LCM of Fractions for 98/560, 792/518, 834/828 is 2697156.