Least Common Multiple of 17/245, 178/546, 379/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/245, 178/546, 379/702 quickly i.e. 1146854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/245, 178/546, 379/702 is 1146854.

LCM(17/245, 178/546, 379/702) = 1146854

LCM of 17/245, 178/546, 379/702

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 17/245,178/546,379/702

Given numbers are 17/245,178/546,379/702

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 17,178,379

Least Common Multiple of Numerators i.e. LCM of 17,178,379 is 1146854.

GCF of Denominators means GCF of 245,546,702 as per the given fractions.

GCF of 245,546,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,178,379

LCM of Fractions 17/245,178/546,379/702 is 1146854

Given numbers has no common factors except 1. So, there LCM is their product i.e 1146854

Least Common Multiple of 17,178,379 with GCF Formula

Least Common Multiple of 17,178,379 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 17,178,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,178,379) = 1

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

GCF(17,178,379) x common factors =1 x 1 = 1

LCM(17,178,379) = ( 17 × 178 × 379 ) / 1

LCM(17,178,379) = 1146854 / 1

LCM(17,178,379) = 1146854


Lets's calculate GCF of 245,546,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1146854/1

Therefore the LCM of Fractions 17/245,178/546,379/702 is 1146854

Greatest Common Factor of 245,546,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,546,702 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 245,546,702 . The biggest common factor number is the GCF number.
So the greatest common factor 245,546,702 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 17/245, 178/546, 379/702

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 17/245, 178/546, 379/702?

Answer: LCM of Numerators as per given numbers 17/245, 178/546, 379/702 is

LCM of Numerators i.e. for 17,178,379 is 1146854

GCF of denominators i.e. for 245,546,702 is 1.

Thus, LCM of Fractions is 1146854.Finally, LCM of Fractions for 17/245, 178/546, 379/702 is 1146854.