Least Common Multiple of 525/80, 910/59, 292/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 525/80, 910/59, 292/298 quickly i.e. 1992900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/80, 910/59, 292/298 is 1992900.

LCM(525/80, 910/59, 292/298) = 1992900

LCM of 525/80, 910/59, 292/298

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 525/80,910/59,292/298

Given numbers are 525/80,910/59,292/298

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 525,910,292

Least Common Multiple of Numerators i.e. LCM of 525,910,292 is 1992900.

GCF of Denominators means GCF of 80,59,298 as per the given fractions.

GCF of 80,59,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,910,292

LCM of Fractions 525/80,910/59,292/298 is 1992900

2 525, 910, 292
5 525, 455, 146
7 105, 91, 146
15, 13, 146

∴ So the LCM of the given numbers is 2 x 5 x 7 x 15 x 13 x 146 = 1992900

Least Common Multiple of 525,910,292 with GCF Formula

Least Common Multiple of 525,910,292 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 525,910,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,910,292) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(525,910,292) x common factors =1 x 70 = 70

LCM(525,910,292) = ( 525 × 910 × 292 ) / 70

LCM(525,910,292) = 139503000 / 70

LCM(525,910,292) = 1992900


Lets's calculate GCF of 80,59,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1992900/1

Therefore the LCM of Fractions 525/80,910/59,292/298 is 1992900

Greatest Common Factor of 80,59,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,59,298 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 80,59,298 . The biggest common factor number is the GCF number.
So the greatest common factor 80,59,298 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 525/80, 910/59, 292/298

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 525/80, 910/59, 292/298?

Answer: LCM of Numerators as per given numbers 525/80, 910/59, 292/298 is

LCM of Numerators i.e. for 525,910,292 is 1992900

GCF of denominators i.e. for 80,59,298 is 1.

Thus, LCM of Fractions is 1992900.Finally, LCM of Fractions for 525/80, 910/59, 292/298 is 1992900.