Least Common Multiple of 34/74, 197/10, 603/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/74, 197/10, 603/351 quickly i.e. 4038894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/74, 197/10, 603/351 is 4038894.

LCM(34/74, 197/10, 603/351) = 4038894

LCM of 34/74, 197/10, 603/351

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 34/74,197/10,603/351

Given numbers are 34/74,197/10,603/351

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 34,197,603

Least Common Multiple of Numerators i.e. LCM of 34,197,603 is 4038894.

GCF of Denominators means GCF of 74,10,351 as per the given fractions.

GCF of 74,10,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,197,603

LCM of Fractions 34/74,197/10,603/351 is 4038894

Given numbers has no common factors except 1. So, there LCM is their product i.e 4038894

Least Common Multiple of 34,197,603 with GCF Formula

Least Common Multiple of 34,197,603 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 34,197,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,197,603) = 1

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

GCF(34,197,603) x common factors =1 x 1 = 1

LCM(34,197,603) = ( 34 × 197 × 603 ) / 1

LCM(34,197,603) = 4038894 / 1

LCM(34,197,603) = 4038894


Lets's calculate GCF of 74,10,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4038894/1

Therefore the LCM of Fractions 34/74,197/10,603/351 is 4038894

Greatest Common Factor of 74,10,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,10,351 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 74,10,351 . The biggest common factor number is the GCF number.
So the greatest common factor 74,10,351 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 34/74, 197/10, 603/351

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 34/74, 197/10, 603/351?

Answer: LCM of Numerators as per given numbers 34/74, 197/10, 603/351 is

LCM of Numerators i.e. for 34,197,603 is 4038894

GCF of denominators i.e. for 74,10,351 is 1.

Thus, LCM of Fractions is 4038894.Finally, LCM of Fractions for 34/74, 197/10, 603/351 is 4038894.