Least Common Multiple of 616/70, 700/11, 708/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/70, 700/11, 708/410 quickly i.e. 2725800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/70, 700/11, 708/410 is 2725800.

LCM(616/70, 700/11, 708/410) = 2725800

LCM of 616/70, 700/11, 708/410

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 616/70,700/11,708/410

Given numbers are 616/70,700/11,708/410

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 616,700,708

Least Common Multiple of Numerators i.e. LCM of 616,700,708 is 2725800.

GCF of Denominators means GCF of 70,11,410 as per the given fractions.

GCF of 70,11,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,700,708

LCM of Fractions 616/70,700/11,708/410 is 2725800

2 616, 700, 708
2 308, 350, 354
7 154, 175, 177
22, 25, 177

∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 25 x 177 = 2725800

Least Common Multiple of 616,700,708 with GCF Formula

Least Common Multiple of 616,700,708 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 616,700,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,700,708) = 4

common factors(in case of two or more numbers have common factors) = 28

GCF(616,700,708) x common factors =4 x 28 = 112

LCM(616,700,708) = ( 616 × 700 × 708 ) / 112

LCM(616,700,708) = 305289600 / 112

LCM(616,700,708) = 2725800


Lets's calculate GCF of 70,11,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2725800/1

Therefore the LCM of Fractions 616/70,700/11,708/410 is 2725800

Greatest Common Factor of 70,11,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,11,410 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 70,11,410 . The biggest common factor number is the GCF number.
So the greatest common factor 70,11,410 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 616/70, 700/11, 708/410

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 616/70, 700/11, 708/410?

Answer: LCM of Numerators as per given numbers 616/70, 700/11, 708/410 is

LCM of Numerators i.e. for 616,700,708 is 2725800

GCF of denominators i.e. for 70,11,410 is 1.

Thus, LCM of Fractions is 2725800.Finally, LCM of Fractions for 616/70, 700/11, 708/410 is 2725800.