Least Common Multiple of 86/961, 964/98, 142/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/961, 964/98, 142/257 quickly i.e. 2943092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/961, 964/98, 142/257 is 2943092.

LCM(86/961, 964/98, 142/257) = 2943092

LCM of 86/961, 964/98, 142/257

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 86/961,964/98,142/257

Given numbers are 86/961,964/98,142/257

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 86,964,142

Least Common Multiple of Numerators i.e. LCM of 86,964,142 is 2943092.

GCF of Denominators means GCF of 961,98,257 as per the given fractions.

GCF of 961,98,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,964,142

LCM of Fractions 86/961,964/98,142/257 is 2943092

2 86, 964, 142
43, 482, 71

∴ So the LCM of the given numbers is 2 x 43 x 482 x 71 = 2943092

Least Common Multiple of 86,964,142 with GCF Formula

Least Common Multiple of 86,964,142 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 86,964,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,964,142) = 2

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

GCF(86,964,142) x common factors =2 x 2 = 4

LCM(86,964,142) = ( 86 × 964 × 142 ) / 4

LCM(86,964,142) = 11772368 / 4

LCM(86,964,142) = 2943092


Lets's calculate GCF of 961,98,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2943092/1

Therefore the LCM of Fractions 86/961,964/98,142/257 is 2943092

Greatest Common Factor of 961,98,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,98,257 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 961,98,257 . The biggest common factor number is the GCF number.
So the greatest common factor 961,98,257 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/961, 964/98, 142/257

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 86/961, 964/98, 142/257?

Answer: LCM of Numerators as per given numbers 86/961, 964/98, 142/257 is

LCM of Numerators i.e. for 86,964,142 is 2943092

GCF of denominators i.e. for 961,98,257 is 1.

Thus, LCM of Fractions is 2943092.Finally, LCM of Fractions for 86/961, 964/98, 142/257 is 2943092.