Least Common Multiple of 62/964, 249/544, 612/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/964, 249/544, 612/750 quickly i.e. 787338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/964, 249/544, 612/750 is 787338.

LCM(62/964, 249/544, 612/750) = 787338

LCM of 62/964, 249/544, 612/750

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 62/964,249/544,612/750

Given numbers are 62/964,249/544,612/750

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 62,249,612

Least Common Multiple of Numerators i.e. LCM of 62,249,612 is 1574676.

GCF of Denominators means GCF of 964,544,750 as per the given fractions.

GCF of 964,544,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,249,612

LCM of Fractions 62/964,249/544,612/750 is 787338

2 62, 249, 612
3 31, 249, 306
31, 83, 102

∴ So the LCM of the given numbers is 2 x 3 x 31 x 83 x 102 = 1574676

Least Common Multiple of 62,249,612 with GCF Formula

Least Common Multiple of 62,249,612 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 62,249,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,249,612) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(62,249,612) x common factors =1 x 6 = 6

LCM(62,249,612) = ( 62 × 249 × 612 ) / 6

LCM(62,249,612) = 9448056 / 6

LCM(62,249,612) = 1574676


Lets's calculate GCF of 964,544,750

2 964, 544, 750
482, 272, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1574676/2

Therefore the LCM of Fractions 62/964,249/544,612/750 is 787338

Greatest Common Factor of 964,544,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,544,750 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 964,544,750 . The biggest common factor number is the GCF number.
So the greatest common factor 964,544,750 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 62/964, 249/544, 612/750

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 62/964, 249/544, 612/750?

Answer: LCM of Numerators as per given numbers 62/964, 249/544, 612/750 is

LCM of Numerators i.e. for 62,249,612 is 1574676

GCF of denominators i.e. for 964,544,750 is 2.

Thus, LCM of Fractions is 787338.Finally, LCM of Fractions for 62/964, 249/544, 612/750 is 787338.