Least Common Multiple of 34/924, 35/156, 345/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/924, 35/156, 345/704 quickly i.e. 82110/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/924, 35/156, 345/704 is 82110/4.

LCM(34/924, 35/156, 345/704) = 82110/4

LCM of 34/924, 35/156, 345/704

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 34/924,35/156,345/704

Given numbers are 34/924,35/156,345/704

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 34,35,345

Least Common Multiple of Numerators i.e. LCM of 34,35,345 is 82110.

GCF of Denominators means GCF of 924,156,704 as per the given fractions.

GCF of 924,156,704 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,35,345

LCM of Fractions 34/924,35/156,345/704 is 82110/4

5 34, 35, 345
34, 7, 69

∴ So the LCM of the given numbers is 5 x 34 x 7 x 69 = 82110

Least Common Multiple of 34,35,345 with GCF Formula

Least Common Multiple of 34,35,345 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 34,35,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,35,345) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(34,35,345) x common factors =1 x 5 = 5

LCM(34,35,345) = ( 34 × 35 × 345 ) / 5

LCM(34,35,345) = 410550 / 5

LCM(34,35,345) = 82110


Lets's calculate GCF of 924,156,704

2 924, 156, 704
2 462, 78, 352
231, 39, 176

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82110/4

Therefore the LCM of Fractions 34/924,35/156,345/704 is 82110/4

Greatest Common Factor of 924,156,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,156,704 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 924,156,704 . The biggest common factor number is the GCF number.
So the greatest common factor 924,156,704 is 4.


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 34/924, 35/156, 345/704

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 34/924, 35/156, 345/704?

Answer: LCM of Numerators as per given numbers 34/924, 35/156, 345/704 is

LCM of Numerators i.e. for 34,35,345 is 82110

GCF of denominators i.e. for 924,156,704 is 4.

Thus, LCM of Fractions is 82110/4.Finally, LCM of Fractions for 34/924, 35/156, 345/704 is 82110/4.