Least Common Multiple of 508/98, 526/84, 315/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/98, 526/84, 315/754 quickly i.e. 21042630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/98, 526/84, 315/754 is 21042630.

LCM(508/98, 526/84, 315/754) = 21042630

LCM of 508/98, 526/84, 315/754

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 508/98,526/84,315/754

Given numbers are 508/98,526/84,315/754

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 508,526,315

Least Common Multiple of Numerators i.e. LCM of 508,526,315 is 42085260.

GCF of Denominators means GCF of 98,84,754 as per the given fractions.

GCF of 98,84,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,526,315

LCM of Fractions 508/98,526/84,315/754 is 21042630

2 508, 526, 315
254, 263, 315

∴ So the LCM of the given numbers is 2 x 254 x 263 x 315 = 42085260

Least Common Multiple of 508,526,315 with GCF Formula

Least Common Multiple of 508,526,315 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 508,526,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,526,315) = 1

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

GCF(508,526,315) x common factors =1 x 2 = 2

LCM(508,526,315) = ( 508 × 526 × 315 ) / 2

LCM(508,526,315) = 84170520 / 2

LCM(508,526,315) = 42085260


Lets's calculate GCF of 98,84,754

2 98, 84, 754
49, 42, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42085260/2

Therefore the LCM of Fractions 508/98,526/84,315/754 is 21042630

Greatest Common Factor of 98,84,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,84,754 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 98,84,754 . The biggest common factor number is the GCF number.
So the greatest common factor 98,84,754 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 508/98, 526/84, 315/754

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 508/98, 526/84, 315/754?

Answer: LCM of Numerators as per given numbers 508/98, 526/84, 315/754 is

LCM of Numerators i.e. for 508,526,315 is 42085260

GCF of denominators i.e. for 98,84,754 is 2.

Thus, LCM of Fractions is 21042630.Finally, LCM of Fractions for 508/98, 526/84, 315/754 is 21042630.