Least Common Multiple of 780/68, 575/1450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/68, 575/1450 quickly i.e. 44850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/68, 575/1450 is 44850.

LCM(780/68, 575/1450) = 44850

LCM of 780/68, 575/1450

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 780/68,575/1450

Given numbers are 780/68,575/1450

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 780,575

Least Common Multiple of Numerators i.e. LCM of 780,575 is 89700.

GCF of Denominators means GCF of 68,1450 as per the given fractions.

GCF of 68,1450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,575

LCM of Fractions 780/68,575/1450 is 44850

5 780, 575
156, 115

∴ So the LCM of the given numbers is 5 x 156 x 115 = 89700

Least Common Multiple of 780,575 with GCF Formula

Least Common Multiple of 780,575 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 780,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,575) = 5

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

GCF(780,575) x common factors =5 x 1 = 5

LCM(780,575) = ( 780 × 575 ) / 5

LCM(780,575) = 448500 / 5

LCM(780,575) = 89700


Lets's calculate GCF of 68,1450

2 68, 1450
34, 725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89700/2

Therefore the LCM of Fractions 780/68,575/1450 is 44850

Greatest Common Factor of 68,1450 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,1450 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1,2,5,10,25,29,50,58,145,290,725,1450

Greatest Common Factor

We found the factors 68,1450 . The biggest common factor number is the GCF number.
So the greatest common factor 68,1450 is 2.


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 780/68, 575/1450

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 780/68, 575/1450?

Answer: LCM of Numerators as per given numbers 780/68, 575/1450 is

LCM of Numerators i.e. for 780,575 is 89700

GCF of denominators i.e. for 68,1450 is 2.

Thus, LCM of Fractions is 44850.Finally, LCM of Fractions for 780/68, 575/1450 is 44850.