Least Common Multiple of 962/812, 690/333, 684/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 962/812, 690/333, 684/641 quickly i.e. 37835460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 962/812, 690/333, 684/641 is 37835460.

LCM(962/812, 690/333, 684/641) = 37835460

LCM of 962/812, 690/333, 684/641

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 962/812,690/333,684/641

Given numbers are 962/812,690/333,684/641

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 962,690,684

Least Common Multiple of Numerators i.e. LCM of 962,690,684 is 37835460.

GCF of Denominators means GCF of 812,333,641 as per the given fractions.

GCF of 812,333,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 962,690,684

LCM of Fractions 962/812,690/333,684/641 is 37835460

2 962, 690, 684
3 481, 345, 342
481, 115, 114

∴ So the LCM of the given numbers is 2 x 3 x 481 x 115 x 114 = 37835460

Least Common Multiple of 962,690,684 with GCF Formula

Least Common Multiple of 962,690,684 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 962,690,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,690,684) = 2

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

GCF(962,690,684) x common factors =2 x 6 = 12

LCM(962,690,684) = ( 962 × 690 × 684 ) / 12

LCM(962,690,684) = 454025520 / 12

LCM(962,690,684) = 37835460


Lets's calculate GCF of 812,333,641

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37835460/1

Therefore the LCM of Fractions 962/812,690/333,684/641 is 37835460

Greatest Common Factor of 812,333,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,333,641 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 812,333,641 . The biggest common factor number is the GCF number.
So the greatest common factor 812,333,641 is 1.


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 962/812, 690/333, 684/641

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 962/812, 690/333, 684/641?

Answer: LCM of Numerators as per given numbers 962/812, 690/333, 684/641 is

LCM of Numerators i.e. for 962,690,684 is 37835460

GCF of denominators i.e. for 812,333,641 is 1.

Thus, LCM of Fractions is 37835460.Finally, LCM of Fractions for 962/812, 690/333, 684/641 is 37835460.