Least Common Multiple of 65/691, 90/752, 750/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/691, 90/752, 750/504 quickly i.e. 29250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/691, 90/752, 750/504 is 29250.

LCM(65/691, 90/752, 750/504) = 29250

LCM of 65/691, 90/752, 750/504

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 65/691,90/752,750/504

Given numbers are 65/691,90/752,750/504

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 65,90,750

Least Common Multiple of Numerators i.e. LCM of 65,90,750 is 29250.

GCF of Denominators means GCF of 691,752,504 as per the given fractions.

GCF of 691,752,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,90,750

LCM of Fractions 65/691,90/752,750/504 is 29250

2 65, 90, 750
3 65, 45, 375
5 65, 15, 125
13, 3, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 3 x 25 = 29250

Least Common Multiple of 65,90,750 with GCF Formula

Least Common Multiple of 65,90,750 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 65,90,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,90,750) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(65,90,750) x common factors =5 x 30 = 150

LCM(65,90,750) = ( 65 × 90 × 750 ) / 150

LCM(65,90,750) = 4387500 / 150

LCM(65,90,750) = 29250


Lets's calculate GCF of 691,752,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29250/1

Therefore the LCM of Fractions 65/691,90/752,750/504 is 29250

Greatest Common Factor of 691,752,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,752,504 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 691,752,504 . The biggest common factor number is the GCF number.
So the greatest common factor 691,752,504 is 1.


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 65/691, 90/752, 750/504

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 65/691, 90/752, 750/504?

Answer: LCM of Numerators as per given numbers 65/691, 90/752, 750/504 is

LCM of Numerators i.e. for 65,90,750 is 29250

GCF of denominators i.e. for 691,752,504 is 1.

Thus, LCM of Fractions is 29250.Finally, LCM of Fractions for 65/691, 90/752, 750/504 is 29250.