Least Common Multiple of 750/559, 9294/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/559, 9294/278 quickly i.e. 1161750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/559, 9294/278 is 1161750.

LCM(750/559, 9294/278) = 1161750

LCM of 750/559, 9294/278

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 750/559,9294/278

Given numbers are 750/559,9294/278

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 750,9294

Least Common Multiple of Numerators i.e. LCM of 750,9294 is 1161750.

GCF of Denominators means GCF of 559,278 as per the given fractions.

GCF of 559,278 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,9294

LCM of Fractions 750/559,9294/278 is 1161750

2 750, 9294
3 375, 4647
125, 1549

∴ So the LCM of the given numbers is 2 x 3 x 125 x 1549 = 1161750

Least Common Multiple of 750,9294 with GCF Formula

Least Common Multiple of 750,9294 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 750,9294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,9294) = 6

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

GCF(750,9294) x common factors =6 x 1 = 6

LCM(750,9294) = ( 750 × 9294 ) / 6

LCM(750,9294) = 6970500 / 6

LCM(750,9294) = 1161750


Lets's calculate GCF of 559,278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1161750/1

Therefore the LCM of Fractions 750/559,9294/278 is 1161750

Greatest Common Factor of 559,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,278 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 559,278 . The biggest common factor number is the GCF number.
So the greatest common factor 559,278 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 750/559, 9294/278

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 750/559, 9294/278?

Answer: LCM of Numerators as per given numbers 750/559, 9294/278 is

LCM of Numerators i.e. for 750,9294 is 1161750

GCF of denominators i.e. for 559,278 is 1.

Thus, LCM of Fractions is 1161750.Finally, LCM of Fractions for 750/559, 9294/278 is 1161750.