Least Common Multiple of 8250/572, 1615/2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8250/572, 1615/2998 quickly i.e. 1332375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8250/572, 1615/2998 is 1332375.

LCM(8250/572, 1615/2998) = 1332375

LCM of 8250/572, 1615/2998

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 8250/572,1615/2998

Given numbers are 8250/572,1615/2998

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 8250,1615

Least Common Multiple of Numerators i.e. LCM of 8250,1615 is 2664750.

GCF of Denominators means GCF of 572,2998 as per the given fractions.

GCF of 572,2998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8250,1615

LCM of Fractions 8250/572,1615/2998 is 1332375

5 8250, 1615
1650, 323

∴ So the LCM of the given numbers is 5 x 1650 x 323 = 2664750

Least Common Multiple of 8250,1615 with GCF Formula

Least Common Multiple of 8250,1615 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 8250,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8250,1615) = 5

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

GCF(8250,1615) x common factors =5 x 1 = 5

LCM(8250,1615) = ( 8250 × 1615 ) / 5

LCM(8250,1615) = 13323750 / 5

LCM(8250,1615) = 2664750


Lets's calculate GCF of 572,2998

2 572, 2998
286, 1499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2664750/2

Therefore the LCM of Fractions 8250/572,1615/2998 is 1332375

Greatest Common Factor of 572,2998 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,2998 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors 572,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 572,2998 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8250/572, 1615/2998

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 8250/572, 1615/2998?

Answer: LCM of Numerators as per given numbers 8250/572, 1615/2998 is

LCM of Numerators i.e. for 8250,1615 is 2664750

GCF of denominators i.e. for 572,2998 is 2.

Thus, LCM of Fractions is 1332375.Finally, LCM of Fractions for 8250/572, 1615/2998 is 1332375.