Least Common Multiple of 970/314, 603/308, 174/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/314, 603/308, 174/932 quickly i.e. 8481195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/314, 603/308, 174/932 is 8481195.

LCM(970/314, 603/308, 174/932) = 8481195

LCM of 970/314, 603/308, 174/932

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 970/314,603/308,174/932

Given numbers are 970/314,603/308,174/932

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 970,603,174

Least Common Multiple of Numerators i.e. LCM of 970,603,174 is 16962390.

GCF of Denominators means GCF of 314,308,932 as per the given fractions.

GCF of 314,308,932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,603,174

LCM of Fractions 970/314,603/308,174/932 is 8481195

2 970, 603, 174
3 485, 603, 87
485, 201, 29

∴ So the LCM of the given numbers is 2 x 3 x 485 x 201 x 29 = 16962390

Least Common Multiple of 970,603,174 with GCF Formula

Least Common Multiple of 970,603,174 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 970,603,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,603,174) = 1

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

GCF(970,603,174) x common factors =1 x 6 = 6

LCM(970,603,174) = ( 970 × 603 × 174 ) / 6

LCM(970,603,174) = 101774340 / 6

LCM(970,603,174) = 16962390


Lets's calculate GCF of 314,308,932

2 314, 308, 932
157, 154, 466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16962390/2

Therefore the LCM of Fractions 970/314,603/308,174/932 is 8481195

Greatest Common Factor of 314,308,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,308,932 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 314,308,932 . The biggest common factor number is the GCF number.
So the greatest common factor 314,308,932 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 970/314, 603/308, 174/932

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 970/314, 603/308, 174/932?

Answer: LCM of Numerators as per given numbers 970/314, 603/308, 174/932 is

LCM of Numerators i.e. for 970,603,174 is 16962390

GCF of denominators i.e. for 314,308,932 is 2.

Thus, LCM of Fractions is 8481195.Finally, LCM of Fractions for 970/314, 603/308, 174/932 is 8481195.