Least Common Multiple of 10/734, 6858/1601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/734, 6858/1601 quickly i.e. 34290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/734, 6858/1601 is 34290.

LCM(10/734, 6858/1601) = 34290

LCM of 10/734, 6858/1601

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 10/734,6858/1601

Given numbers are 10/734,6858/1601

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 10,6858

Least Common Multiple of Numerators i.e. LCM of 10,6858 is 34290.

GCF of Denominators means GCF of 734,1601 as per the given fractions.

GCF of 734,1601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,6858

LCM of Fractions 10/734,6858/1601 is 34290

2 10, 6858
5, 3429

∴ So the LCM of the given numbers is 2 x 5 x 3429 = 34290

Least Common Multiple of 10,6858 with GCF Formula

Least Common Multiple of 10,6858 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 10,6858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,6858) = 2

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

GCF(10,6858) x common factors =2 x 1 = 2

LCM(10,6858) = ( 10 × 6858 ) / 2

LCM(10,6858) = 68580 / 2

LCM(10,6858) = 34290


Lets's calculate GCF of 734,1601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34290/1

Therefore the LCM of Fractions 10/734,6858/1601 is 34290

Greatest Common Factor of 734,1601 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,1601 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 1601

List of positive integer factors of 1601 that divides 1601 without a remainder.

1,1601

Greatest Common Factor

We found the factors 734,1601 . The biggest common factor number is the GCF number.
So the greatest common factor 734,1601 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 10/734, 6858/1601

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 10/734, 6858/1601?

Answer: LCM of Numerators as per given numbers 10/734, 6858/1601 is

LCM of Numerators i.e. for 10,6858 is 34290

GCF of denominators i.e. for 734,1601 is 1.

Thus, LCM of Fractions is 34290.Finally, LCM of Fractions for 10/734, 6858/1601 is 34290.