Least Common Multiple of 84/510, 621/762, 491/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/510, 621/762, 491/930 quickly i.e. 1422918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/510, 621/762, 491/930 is 1422918.

LCM(84/510, 621/762, 491/930) = 1422918

LCM of 84/510, 621/762, 491/930

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 84/510,621/762,491/930

Given numbers are 84/510,621/762,491/930

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 84,621,491

Least Common Multiple of Numerators i.e. LCM of 84,621,491 is 8537508.

GCF of Denominators means GCF of 510,762,930 as per the given fractions.

GCF of 510,762,930 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,621,491

LCM of Fractions 84/510,621/762,491/930 is 1422918

3 84, 621, 491
28, 207, 491

∴ So the LCM of the given numbers is 3 x 28 x 207 x 491 = 8537508

Least Common Multiple of 84,621,491 with GCF Formula

Least Common Multiple of 84,621,491 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 84,621,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,621,491) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,621,491) x common factors =1 x 3 = 3

LCM(84,621,491) = ( 84 × 621 × 491 ) / 3

LCM(84,621,491) = 25612524 / 3

LCM(84,621,491) = 8537508


Lets's calculate GCF of 510,762,930

2 510, 762, 930
3 255, 381, 465
85, 127, 155

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8537508/6

Therefore the LCM of Fractions 84/510,621/762,491/930 is 1422918

Greatest Common Factor of 510,762,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,762,930 By Matching Biggest Common Factor Method

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

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 510,762,930 . The biggest common factor number is the GCF number.
So the greatest common factor 510,762,930 is 6.


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 84/510, 621/762, 491/930

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 84/510, 621/762, 491/930?

Answer: LCM of Numerators as per given numbers 84/510, 621/762, 491/930 is

LCM of Numerators i.e. for 84,621,491 is 8537508

GCF of denominators i.e. for 510,762,930 is 6.

Thus, LCM of Fractions is 1422918.Finally, LCM of Fractions for 84/510, 621/762, 491/930 is 1422918.