Least Common Multiple of 68/476, 280/935, 526/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/476, 280/935, 526/986 quickly i.e. 73640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/476, 280/935, 526/986 is 73640.

LCM(68/476, 280/935, 526/986) = 73640

LCM of 68/476, 280/935, 526/986

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 68/476,280/935,526/986

Given numbers are 68/476,280/935,526/986

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 68,280,526

Least Common Multiple of Numerators i.e. LCM of 68,280,526 is 1251880.

GCF of Denominators means GCF of 476,935,986 as per the given fractions.

GCF of 476,935,986 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,280,526

LCM of Fractions 68/476,280/935,526/986 is 73640

2 68, 280, 526
2 34, 140, 263
17, 70, 263

∴ So the LCM of the given numbers is 2 x 2 x 17 x 70 x 263 = 1251880

Least Common Multiple of 68,280,526 with GCF Formula

Least Common Multiple of 68,280,526 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 68,280,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,280,526) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(68,280,526) x common factors =2 x 4 = 8

LCM(68,280,526) = ( 68 × 280 × 526 ) / 8

LCM(68,280,526) = 10015040 / 8

LCM(68,280,526) = 1251880


Lets's calculate GCF of 476,935,986

17 476, 935, 986
28, 55, 58

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1251880/17

Therefore the LCM of Fractions 68/476,280/935,526/986 is 73640

Greatest Common Factor of 476,935,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,935,986 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 476,935,986 . The biggest common factor number is the GCF number.
So the greatest common factor 476,935,986 is 17.


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 68/476, 280/935, 526/986

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 68/476, 280/935, 526/986?

Answer: LCM of Numerators as per given numbers 68/476, 280/935, 526/986 is

LCM of Numerators i.e. for 68,280,526 is 1251880

GCF of denominators i.e. for 476,935,986 is 17.

Thus, LCM of Fractions is 73640.Finally, LCM of Fractions for 68/476, 280/935, 526/986 is 73640.