Least Common Multiple of 280/950, 5659/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/950, 5659/870 quickly i.e. 158452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/950, 5659/870 is 158452.

LCM(280/950, 5659/870) = 158452

LCM of 280/950, 5659/870

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 280/950,5659/870

Given numbers are 280/950,5659/870

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 280,5659

Least Common Multiple of Numerators i.e. LCM of 280,5659 is 1584520.

GCF of Denominators means GCF of 950,870 as per the given fractions.

GCF of 950,870 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,5659

LCM of Fractions 280/950,5659/870 is 158452

Given numbers has no common factors except 1. So, there LCM is their product i.e 1584520

Least Common Multiple of 280,5659 with GCF Formula

Least Common Multiple of 280,5659 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 280,5659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,5659) = 1

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

GCF(280,5659) x common factors =1 x 1 = 1

LCM(280,5659) = ( 280 × 5659 ) / 1

LCM(280,5659) = 1584520 / 1

LCM(280,5659) = 1584520


Lets's calculate GCF of 950,870

2 950, 870
5 475, 435
95, 87

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1584520/10

Therefore the LCM of Fractions 280/950,5659/870 is 158452

Greatest Common Factor of 950,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,870 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

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 950,870 . The biggest common factor number is the GCF number.
So the greatest common factor 950,870 is 10.


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 280/950, 5659/870

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 280/950, 5659/870?

Answer: LCM of Numerators as per given numbers 280/950, 5659/870 is

LCM of Numerators i.e. for 280,5659 is 1584520

GCF of denominators i.e. for 950,870 is 10.

Thus, LCM of Fractions is 158452.Finally, LCM of Fractions for 280/950, 5659/870 is 158452.