Least Common Multiple of 60/917, 678/417, 137/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/917, 678/417, 137/174 quickly i.e. 928860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/917, 678/417, 137/174 is 928860.

LCM(60/917, 678/417, 137/174) = 928860

LCM of 60/917, 678/417, 137/174

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 60/917,678/417,137/174

Given numbers are 60/917,678/417,137/174

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 60,678,137

Least Common Multiple of Numerators i.e. LCM of 60,678,137 is 928860.

GCF of Denominators means GCF of 917,417,174 as per the given fractions.

GCF of 917,417,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,678,137

LCM of Fractions 60/917,678/417,137/174 is 928860

2 60, 678, 137
3 30, 339, 137
10, 113, 137

∴ So the LCM of the given numbers is 2 x 3 x 10 x 113 x 137 = 928860

Least Common Multiple of 60,678,137 with GCF Formula

Least Common Multiple of 60,678,137 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 60,678,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,678,137) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,678,137) x common factors =1 x 6 = 6

LCM(60,678,137) = ( 60 × 678 × 137 ) / 6

LCM(60,678,137) = 5573160 / 6

LCM(60,678,137) = 928860


Lets's calculate GCF of 917,417,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 928860/1

Therefore the LCM of Fractions 60/917,678/417,137/174 is 928860

Greatest Common Factor of 917,417,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,417,174 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 917,417,174 . The biggest common factor number is the GCF number.
So the greatest common factor 917,417,174 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 60/917, 678/417, 137/174

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 60/917, 678/417, 137/174?

Answer: LCM of Numerators as per given numbers 60/917, 678/417, 137/174 is

LCM of Numerators i.e. for 60,678,137 is 928860

GCF of denominators i.e. for 917,417,174 is 1.

Thus, LCM of Fractions is 928860.Finally, LCM of Fractions for 60/917, 678/417, 137/174 is 928860.