Least Common Multiple of 64/740, 83/864, 930/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/740, 83/864, 930/196 quickly i.e. 617520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/740, 83/864, 930/196 is 617520.

LCM(64/740, 83/864, 930/196) = 617520

LCM of 64/740, 83/864, 930/196

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 64/740,83/864,930/196

Given numbers are 64/740,83/864,930/196

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 64,83,930

Least Common Multiple of Numerators i.e. LCM of 64,83,930 is 2470080.

GCF of Denominators means GCF of 740,864,196 as per the given fractions.

GCF of 740,864,196 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,83,930

LCM of Fractions 64/740,83/864,930/196 is 617520

2 64, 83, 930
32, 83, 465

∴ So the LCM of the given numbers is 2 x 32 x 83 x 465 = 2470080

Least Common Multiple of 64,83,930 with GCF Formula

Least Common Multiple of 64,83,930 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 64,83,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,83,930) = 1

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

GCF(64,83,930) x common factors =1 x 2 = 2

LCM(64,83,930) = ( 64 × 83 × 930 ) / 2

LCM(64,83,930) = 4940160 / 2

LCM(64,83,930) = 2470080


Lets's calculate GCF of 740,864,196

2 740, 864, 196
2 370, 432, 98
185, 216, 49

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2470080/4

Therefore the LCM of Fractions 64/740,83/864,930/196 is 617520

Greatest Common Factor of 740,864,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,864,196 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 740,864,196 . The biggest common factor number is the GCF number.
So the greatest common factor 740,864,196 is 4.


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 64/740, 83/864, 930/196

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 64/740, 83/864, 930/196?

Answer: LCM of Numerators as per given numbers 64/740, 83/864, 930/196 is

LCM of Numerators i.e. for 64,83,930 is 2470080

GCF of denominators i.e. for 740,864,196 is 4.

Thus, LCM of Fractions is 617520.Finally, LCM of Fractions for 64/740, 83/864, 930/196 is 617520.