Least Common Multiple of 87/160, 61/949, 590/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/160, 61/949, 590/758 quickly i.e. 3131130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/160, 61/949, 590/758 is 3131130.

LCM(87/160, 61/949, 590/758) = 3131130

LCM of 87/160, 61/949, 590/758

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 87/160,61/949,590/758

Given numbers are 87/160,61/949,590/758

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 87,61,590

Least Common Multiple of Numerators i.e. LCM of 87,61,590 is 3131130.

GCF of Denominators means GCF of 160,949,758 as per the given fractions.

GCF of 160,949,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,61,590

LCM of Fractions 87/160,61/949,590/758 is 3131130

Given numbers has no common factors except 1. So, there LCM is their product i.e 3131130

Least Common Multiple of 87,61,590 with GCF Formula

Least Common Multiple of 87,61,590 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 87,61,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,61,590) = 1

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

GCF(87,61,590) x common factors =1 x 1 = 1

LCM(87,61,590) = ( 87 × 61 × 590 ) / 1

LCM(87,61,590) = 3131130 / 1

LCM(87,61,590) = 3131130


Lets's calculate GCF of 160,949,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3131130/1

Therefore the LCM of Fractions 87/160,61/949,590/758 is 3131130

Greatest Common Factor of 160,949,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,949,758 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 160,949,758 . The biggest common factor number is the GCF number.
So the greatest common factor 160,949,758 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 87/160, 61/949, 590/758

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 87/160, 61/949, 590/758?

Answer: LCM of Numerators as per given numbers 87/160, 61/949, 590/758 is

LCM of Numerators i.e. for 87,61,590 is 3131130

GCF of denominators i.e. for 160,949,758 is 1.

Thus, LCM of Fractions is 3131130.Finally, LCM of Fractions for 87/160, 61/949, 590/758 is 3131130.