Least Common Multiple of 74/525, 98/966, 509/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/525, 98/966, 509/945 quickly i.e. 1845634/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/525, 98/966, 509/945 is 1845634/21.

LCM(74/525, 98/966, 509/945) = 1845634/21

LCM of 74/525, 98/966, 509/945

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 74/525,98/966,509/945

Given numbers are 74/525,98/966,509/945

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 74,98,509

Least Common Multiple of Numerators i.e. LCM of 74,98,509 is 1845634.

GCF of Denominators means GCF of 525,966,945 as per the given fractions.

GCF of 525,966,945 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,98,509

LCM of Fractions 74/525,98/966,509/945 is 1845634/21

2 74, 98, 509
37, 49, 509

∴ So the LCM of the given numbers is 2 x 37 x 49 x 509 = 1845634

Least Common Multiple of 74,98,509 with GCF Formula

Least Common Multiple of 74,98,509 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 74,98,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,98,509) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,98,509) x common factors =1 x 2 = 2

LCM(74,98,509) = ( 74 × 98 × 509 ) / 2

LCM(74,98,509) = 3691268 / 2

LCM(74,98,509) = 1845634


Lets's calculate GCF of 525,966,945

3 525, 966, 945
7 175, 322, 315
25, 46, 45

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1845634/21

Therefore the LCM of Fractions 74/525,98/966,509/945 is 1845634/21

Greatest Common Factor of 525,966,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,966,945 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 525,966,945 . The biggest common factor number is the GCF number.
So the greatest common factor 525,966,945 is 21.


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 74/525, 98/966, 509/945

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 74/525, 98/966, 509/945?

Answer: LCM of Numerators as per given numbers 74/525, 98/966, 509/945 is

LCM of Numerators i.e. for 74,98,509 is 1845634

GCF of denominators i.e. for 525,966,945 is 21.

Thus, LCM of Fractions is 1845634/21.Finally, LCM of Fractions for 74/525, 98/966, 509/945 is 1845634/21.