Least Common Multiple of 931/608, 870/496, 784/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/608, 870/496, 784/510 quickly i.e. 3239880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/608, 870/496, 784/510 is 3239880.

LCM(931/608, 870/496, 784/510) = 3239880

LCM of 931/608, 870/496, 784/510

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 931/608,870/496,784/510

Given numbers are 931/608,870/496,784/510

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 931,870,784

Least Common Multiple of Numerators i.e. LCM of 931,870,784 is 6479760.

GCF of Denominators means GCF of 608,496,510 as per the given fractions.

GCF of 608,496,510 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,870,784

LCM of Fractions 931/608,870/496,784/510 is 3239880

2 931, 870, 784
7 931, 435, 392
7 133, 435, 56
19, 435, 8

∴ So the LCM of the given numbers is 2 x 7 x 7 x 19 x 435 x 8 = 6479760

Least Common Multiple of 931,870,784 with GCF Formula

Least Common Multiple of 931,870,784 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 931,870,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,870,784) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(931,870,784) x common factors =1 x 98 = 98

LCM(931,870,784) = ( 931 × 870 × 784 ) / 98

LCM(931,870,784) = 635016480 / 98

LCM(931,870,784) = 6479760


Lets's calculate GCF of 608,496,510

2 608, 496, 510
304, 248, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6479760/2

Therefore the LCM of Fractions 931/608,870/496,784/510 is 3239880

Greatest Common Factor of 608,496,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,496,510 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 608,496,510 . The biggest common factor number is the GCF number.
So the greatest common factor 608,496,510 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 931/608, 870/496, 784/510

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 931/608, 870/496, 784/510?

Answer: LCM of Numerators as per given numbers 931/608, 870/496, 784/510 is

LCM of Numerators i.e. for 931,870,784 is 6479760

GCF of denominators i.e. for 608,496,510 is 2.

Thus, LCM of Fractions is 3239880.Finally, LCM of Fractions for 931/608, 870/496, 784/510 is 3239880.