Least Common Multiple of 86/140, 26/488, 707/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/140, 26/488, 707/508 quickly i.e. 790426/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/140, 26/488, 707/508 is 790426/4.

LCM(86/140, 26/488, 707/508) = 790426/4

LCM of 86/140, 26/488, 707/508

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 86/140,26/488,707/508

Given numbers are 86/140,26/488,707/508

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 86,26,707

Least Common Multiple of Numerators i.e. LCM of 86,26,707 is 790426.

GCF of Denominators means GCF of 140,488,508 as per the given fractions.

GCF of 140,488,508 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,26,707

LCM of Fractions 86/140,26/488,707/508 is 790426/4

2 86, 26, 707
43, 13, 707

∴ So the LCM of the given numbers is 2 x 43 x 13 x 707 = 790426

Least Common Multiple of 86,26,707 with GCF Formula

Least Common Multiple of 86,26,707 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 86,26,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,26,707) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,26,707) x common factors =1 x 2 = 2

LCM(86,26,707) = ( 86 × 26 × 707 ) / 2

LCM(86,26,707) = 1580852 / 2

LCM(86,26,707) = 790426


Lets's calculate GCF of 140,488,508

2 140, 488, 508
2 70, 244, 254
35, 122, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 790426/4

Therefore the LCM of Fractions 86/140,26/488,707/508 is 790426/4

Greatest Common Factor of 140,488,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,488,508 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 140,488,508 . The biggest common factor number is the GCF number.
So the greatest common factor 140,488,508 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 86/140, 26/488, 707/508

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 86/140, 26/488, 707/508?

Answer: LCM of Numerators as per given numbers 86/140, 26/488, 707/508 is

LCM of Numerators i.e. for 86,26,707 is 790426

GCF of denominators i.e. for 140,488,508 is 4.

Thus, LCM of Fractions is 790426/4.Finally, LCM of Fractions for 86/140, 26/488, 707/508 is 790426/4.