Least Common Multiple of 17/152, 78/737, 505/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/152, 78/737, 505/870 quickly i.e. 669630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/152, 78/737, 505/870 is 669630.

LCM(17/152, 78/737, 505/870) = 669630

LCM of 17/152, 78/737, 505/870

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 17/152,78/737,505/870

Given numbers are 17/152,78/737,505/870

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 17,78,505

Least Common Multiple of Numerators i.e. LCM of 17,78,505 is 669630.

GCF of Denominators means GCF of 152,737,870 as per the given fractions.

GCF of 152,737,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,78,505

LCM of Fractions 17/152,78/737,505/870 is 669630

Given numbers has no common factors except 1. So, there LCM is their product i.e 669630

Least Common Multiple of 17,78,505 with GCF Formula

Least Common Multiple of 17,78,505 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 17,78,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,78,505) = 1

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

GCF(17,78,505) x common factors =1 x 1 = 1

LCM(17,78,505) = ( 17 × 78 × 505 ) / 1

LCM(17,78,505) = 669630 / 1

LCM(17,78,505) = 669630


Lets's calculate GCF of 152,737,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669630/1

Therefore the LCM of Fractions 17/152,78/737,505/870 is 669630

Greatest Common Factor of 152,737,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,737,870 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 152,737,870 . The biggest common factor number is the GCF number.
So the greatest common factor 152,737,870 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 17/152, 78/737, 505/870

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 17/152, 78/737, 505/870?

Answer: LCM of Numerators as per given numbers 17/152, 78/737, 505/870 is

LCM of Numerators i.e. for 17,78,505 is 669630

GCF of denominators i.e. for 152,737,870 is 1.

Thus, LCM of Fractions is 669630.Finally, LCM of Fractions for 17/152, 78/737, 505/870 is 669630.