Least Common Multiple of 87/70, 112/46, 976/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/70, 112/46, 976/590 quickly i.e. 297192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/70, 112/46, 976/590 is 297192.

LCM(87/70, 112/46, 976/590) = 297192

LCM of 87/70, 112/46, 976/590

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 87/70,112/46,976/590

Given numbers are 87/70,112/46,976/590

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 87,112,976

Least Common Multiple of Numerators i.e. LCM of 87,112,976 is 594384.

GCF of Denominators means GCF of 70,46,590 as per the given fractions.

GCF of 70,46,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,112,976

LCM of Fractions 87/70,112/46,976/590 is 297192

2 87, 112, 976
2 87, 56, 488
2 87, 28, 244
2 87, 14, 122
87, 7, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 87 x 7 x 61 = 594384

Least Common Multiple of 87,112,976 with GCF Formula

Least Common Multiple of 87,112,976 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 87,112,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,112,976) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(87,112,976) x common factors =1 x 16 = 16

LCM(87,112,976) = ( 87 × 112 × 976 ) / 16

LCM(87,112,976) = 9510144 / 16

LCM(87,112,976) = 594384


Lets's calculate GCF of 70,46,590

2 70, 46, 590
35, 23, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594384/2

Therefore the LCM of Fractions 87/70,112/46,976/590 is 297192

Greatest Common Factor of 70,46,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,46,590 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 70,46,590 . The biggest common factor number is the GCF number.
So the greatest common factor 70,46,590 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 87/70, 112/46, 976/590

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 87/70, 112/46, 976/590?

Answer: LCM of Numerators as per given numbers 87/70, 112/46, 976/590 is

LCM of Numerators i.e. for 87,112,976 is 594384

GCF of denominators i.e. for 70,46,590 is 2.

Thus, LCM of Fractions is 297192.Finally, LCM of Fractions for 87/70, 112/46, 976/590 is 297192.