Least Common Multiple of 967/58, 533/7700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 967/58, 533/7700 quickly i.e. 515411/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/58, 533/7700 is 515411/2.

LCM(967/58, 533/7700) = 515411/2

LCM of 967/58, 533/7700

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 967/58,533/7700

Given numbers are 967/58,533/7700

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 967,533

Least Common Multiple of Numerators i.e. LCM of 967,533 is 515411.

GCF of Denominators means GCF of 58,7700 as per the given fractions.

GCF of 58,7700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,533

LCM of Fractions 967/58,533/7700 is 515411/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 515411

Least Common Multiple of 967,533 with GCF Formula

Least Common Multiple of 967,533 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 967,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,533) = 1

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

GCF(967,533) x common factors =1 x 1 = 1

LCM(967,533) = ( 967 × 533 ) / 1

LCM(967,533) = 515411 / 1

LCM(967,533) = 515411


Lets's calculate GCF of 58,7700

2 58, 7700
29, 3850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515411/2

Therefore the LCM of Fractions 967/58,533/7700 is 515411/2

Greatest Common Factor of 58,7700 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7700 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700

Greatest Common Factor

We found the factors 58,7700 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7700 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 967/58, 533/7700

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 967/58, 533/7700?

Answer: LCM of Numerators as per given numbers 967/58, 533/7700 is

LCM of Numerators i.e. for 967,533 is 515411

GCF of denominators i.e. for 58,7700 is 2.

Thus, LCM of Fractions is 515411/2.Finally, LCM of Fractions for 967/58, 533/7700 is 515411/2.