Least Common Multiple of 770/599, 467/735, 537/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/599, 467/735, 537/706 quickly i.e. 193099830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/599, 467/735, 537/706 is 193099830.

LCM(770/599, 467/735, 537/706) = 193099830

LCM of 770/599, 467/735, 537/706

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 770/599,467/735,537/706

Given numbers are 770/599,467/735,537/706

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 770,467,537

Least Common Multiple of Numerators i.e. LCM of 770,467,537 is 193099830.

GCF of Denominators means GCF of 599,735,706 as per the given fractions.

GCF of 599,735,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,467,537

LCM of Fractions 770/599,467/735,537/706 is 193099830

Given numbers has no common factors except 1. So, there LCM is their product i.e 193099830

Least Common Multiple of 770,467,537 with GCF Formula

Least Common Multiple of 770,467,537 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 770,467,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,467,537) = 1

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

GCF(770,467,537) x common factors =1 x 1 = 1

LCM(770,467,537) = ( 770 × 467 × 537 ) / 1

LCM(770,467,537) = 193099830 / 1

LCM(770,467,537) = 193099830


Lets's calculate GCF of 599,735,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193099830/1

Therefore the LCM of Fractions 770/599,467/735,537/706 is 193099830

Greatest Common Factor of 599,735,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,735,706 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 599,735,706 . The biggest common factor number is the GCF number.
So the greatest common factor 599,735,706 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 770/599, 467/735, 537/706

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 770/599, 467/735, 537/706?

Answer: LCM of Numerators as per given numbers 770/599, 467/735, 537/706 is

LCM of Numerators i.e. for 770,467,537 is 193099830

GCF of denominators i.e. for 599,735,706 is 1.

Thus, LCM of Fractions is 193099830.Finally, LCM of Fractions for 770/599, 467/735, 537/706 is 193099830.