Least Common Multiple of 70/980, 257/106, 526/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/980, 257/106, 526/704 quickly i.e. 2365685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/980, 257/106, 526/704 is 2365685.

LCM(70/980, 257/106, 526/704) = 2365685

LCM of 70/980, 257/106, 526/704

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 70/980,257/106,526/704

Given numbers are 70/980,257/106,526/704

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 70,257,526

Least Common Multiple of Numerators i.e. LCM of 70,257,526 is 4731370.

GCF of Denominators means GCF of 980,106,704 as per the given fractions.

GCF of 980,106,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,257,526

LCM of Fractions 70/980,257/106,526/704 is 2365685

2 70, 257, 526
35, 257, 263

∴ So the LCM of the given numbers is 2 x 35 x 257 x 263 = 4731370

Least Common Multiple of 70,257,526 with GCF Formula

Least Common Multiple of 70,257,526 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 70,257,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,257,526) = 1

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

GCF(70,257,526) x common factors =1 x 2 = 2

LCM(70,257,526) = ( 70 × 257 × 526 ) / 2

LCM(70,257,526) = 9462740 / 2

LCM(70,257,526) = 4731370


Lets's calculate GCF of 980,106,704

2 980, 106, 704
490, 53, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4731370/2

Therefore the LCM of Fractions 70/980,257/106,526/704 is 2365685

Greatest Common Factor of 980,106,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,106,704 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 980,106,704 . The biggest common factor number is the GCF number.
So the greatest common factor 980,106,704 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 70/980, 257/106, 526/704

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 70/980, 257/106, 526/704?

Answer: LCM of Numerators as per given numbers 70/980, 257/106, 526/704 is

LCM of Numerators i.e. for 70,257,526 is 4731370

GCF of denominators i.e. for 980,106,704 is 2.

Thus, LCM of Fractions is 2365685.Finally, LCM of Fractions for 70/980, 257/106, 526/704 is 2365685.