Least Common Multiple of 9592/68, 7690/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9592/68, 7690/350 quickly i.e. 18440620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9592/68, 7690/350 is 18440620.

LCM(9592/68, 7690/350) = 18440620

LCM of 9592/68, 7690/350

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 9592/68,7690/350

Given numbers are 9592/68,7690/350

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 9592,7690

Least Common Multiple of Numerators i.e. LCM of 9592,7690 is 36881240.

GCF of Denominators means GCF of 68,350 as per the given fractions.

GCF of 68,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9592,7690

LCM of Fractions 9592/68,7690/350 is 18440620

2 9592, 7690
4796, 3845

∴ So the LCM of the given numbers is 2 x 4796 x 3845 = 36881240

Least Common Multiple of 9592,7690 with GCF Formula

Least Common Multiple of 9592,7690 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 9592,7690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9592,7690) = 2

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

GCF(9592,7690) x common factors =2 x 1 = 2

LCM(9592,7690) = ( 9592 × 7690 ) / 2

LCM(9592,7690) = 73762480 / 2

LCM(9592,7690) = 36881240


Lets's calculate GCF of 68,350

2 68, 350
34, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36881240/2

Therefore the LCM of Fractions 9592/68,7690/350 is 18440620

Greatest Common Factor of 68,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,350 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 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 68,350 . The biggest common factor number is the GCF number.
So the greatest common factor 68,350 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 9592/68, 7690/350

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 9592/68, 7690/350?

Answer: LCM of Numerators as per given numbers 9592/68, 7690/350 is

LCM of Numerators i.e. for 9592,7690 is 36881240

GCF of denominators i.e. for 68,350 is 2.

Thus, LCM of Fractions is 18440620.Finally, LCM of Fractions for 9592/68, 7690/350 is 18440620.