Least Common Multiple of 61/525, 78/649, 750/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/525, 78/649, 750/984 quickly i.e. 594750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/525, 78/649, 750/984 is 594750.

LCM(61/525, 78/649, 750/984) = 594750

LCM of 61/525, 78/649, 750/984

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 61/525,78/649,750/984

Given numbers are 61/525,78/649,750/984

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 61,78,750

Least Common Multiple of Numerators i.e. LCM of 61,78,750 is 594750.

GCF of Denominators means GCF of 525,649,984 as per the given fractions.

GCF of 525,649,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,78,750

LCM of Fractions 61/525,78/649,750/984 is 594750

2 61, 78, 750
3 61, 39, 375
61, 13, 125

∴ So the LCM of the given numbers is 2 x 3 x 61 x 13 x 125 = 594750

Least Common Multiple of 61,78,750 with GCF Formula

Least Common Multiple of 61,78,750 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 61,78,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,78,750) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(61,78,750) x common factors =1 x 6 = 6

LCM(61,78,750) = ( 61 × 78 × 750 ) / 6

LCM(61,78,750) = 3568500 / 6

LCM(61,78,750) = 594750


Lets's calculate GCF of 525,649,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594750/1

Therefore the LCM of Fractions 61/525,78/649,750/984 is 594750

Greatest Common Factor of 525,649,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,649,984 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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 525,649,984 . The biggest common factor number is the GCF number.
So the greatest common factor 525,649,984 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 61/525, 78/649, 750/984

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 61/525, 78/649, 750/984?

Answer: LCM of Numerators as per given numbers 61/525, 78/649, 750/984 is

LCM of Numerators i.e. for 61,78,750 is 594750

GCF of denominators i.e. for 525,649,984 is 1.

Thus, LCM of Fractions is 594750.Finally, LCM of Fractions for 61/525, 78/649, 750/984 is 594750.