Least Common Multiple of 70/474, 484/616, 300/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/474, 484/616, 300/796 quickly i.e. 127050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/474, 484/616, 300/796 is 127050.

LCM(70/474, 484/616, 300/796) = 127050

LCM of 70/474, 484/616, 300/796

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 70/474,484/616,300/796

Given numbers are 70/474,484/616,300/796

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 70,484,300

Least Common Multiple of Numerators i.e. LCM of 70,484,300 is 254100.

GCF of Denominators means GCF of 474,616,796 as per the given fractions.

GCF of 474,616,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,484,300

LCM of Fractions 70/474,484/616,300/796 is 127050

2 70, 484, 300
2 35, 242, 150
5 35, 121, 75
7, 121, 15

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 121 x 15 = 254100

Least Common Multiple of 70,484,300 with GCF Formula

Least Common Multiple of 70,484,300 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 70,484,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,484,300) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(70,484,300) x common factors =2 x 20 = 40

LCM(70,484,300) = ( 70 × 484 × 300 ) / 40

LCM(70,484,300) = 10164000 / 40

LCM(70,484,300) = 254100


Lets's calculate GCF of 474,616,796

2 474, 616, 796
237, 308, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254100/2

Therefore the LCM of Fractions 70/474,484/616,300/796 is 127050

Greatest Common Factor of 474,616,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,616,796 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 474,616,796 . The biggest common factor number is the GCF number.
So the greatest common factor 474,616,796 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 70/474, 484/616, 300/796

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 70/474, 484/616, 300/796?

Answer: LCM of Numerators as per given numbers 70/474, 484/616, 300/796 is

LCM of Numerators i.e. for 70,484,300 is 254100

GCF of denominators i.e. for 474,616,796 is 2.

Thus, LCM of Fractions is 127050.Finally, LCM of Fractions for 70/474, 484/616, 300/796 is 127050.