Least Common Multiple of 803/694, 490/506, 325/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 803/694, 490/506, 325/952 quickly i.e. 12787775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/694, 490/506, 325/952 is 12787775.

LCM(803/694, 490/506, 325/952) = 12787775

LCM of 803/694, 490/506, 325/952

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 803/694,490/506,325/952

Given numbers are 803/694,490/506,325/952

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 803,490,325

Least Common Multiple of Numerators i.e. LCM of 803,490,325 is 25575550.

GCF of Denominators means GCF of 694,506,952 as per the given fractions.

GCF of 694,506,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,490,325

LCM of Fractions 803/694,490/506,325/952 is 12787775

5 803, 490, 325
803, 98, 65

∴ So the LCM of the given numbers is 5 x 803 x 98 x 65 = 25575550

Least Common Multiple of 803,490,325 with GCF Formula

Least Common Multiple of 803,490,325 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 803,490,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,490,325) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(803,490,325) x common factors =1 x 5 = 5

LCM(803,490,325) = ( 803 × 490 × 325 ) / 5

LCM(803,490,325) = 127877750 / 5

LCM(803,490,325) = 25575550


Lets's calculate GCF of 694,506,952

2 694, 506, 952
347, 253, 476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25575550/2

Therefore the LCM of Fractions 803/694,490/506,325/952 is 12787775

Greatest Common Factor of 694,506,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,506,952 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 694,506,952 . The biggest common factor number is the GCF number.
So the greatest common factor 694,506,952 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 803/694, 490/506, 325/952

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 803/694, 490/506, 325/952?

Answer: LCM of Numerators as per given numbers 803/694, 490/506, 325/952 is

LCM of Numerators i.e. for 803,490,325 is 25575550

GCF of denominators i.e. for 694,506,952 is 2.

Thus, LCM of Fractions is 12787775.Finally, LCM of Fractions for 803/694, 490/506, 325/952 is 12787775.