Least Common Multiple of 906/756, 6025/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/756, 6025/312 quickly i.e. 5458650/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/756, 6025/312 is 5458650/12.

LCM(906/756, 6025/312) = 5458650/12

LCM of 906/756, 6025/312

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 906/756,6025/312

Given numbers are 906/756,6025/312

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 906,6025

Least Common Multiple of Numerators i.e. LCM of 906,6025 is 5458650.

GCF of Denominators means GCF of 756,312 as per the given fractions.

GCF of 756,312 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,6025

LCM of Fractions 906/756,6025/312 is 5458650/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 5458650

Least Common Multiple of 906,6025 with GCF Formula

Least Common Multiple of 906,6025 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 906,6025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,6025) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(906,6025) x common factors =1 x 1 = 1

LCM(906,6025) = ( 906 × 6025 ) / 1

LCM(906,6025) = 5458650 / 1

LCM(906,6025) = 5458650


Lets's calculate GCF of 756,312

2 756, 312
2 378, 156
3 189, 78
63, 26

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5458650/12

Therefore the LCM of Fractions 906/756,6025/312 is 5458650/12

Greatest Common Factor of 756,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,312 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 756,312 . The biggest common factor number is the GCF number.
So the greatest common factor 756,312 is 12.


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 906/756, 6025/312

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 906/756, 6025/312?

Answer: LCM of Numerators as per given numbers 906/756, 6025/312 is

LCM of Numerators i.e. for 906,6025 is 5458650

GCF of denominators i.e. for 756,312 is 12.

Thus, LCM of Fractions is 5458650/12.Finally, LCM of Fractions for 906/756, 6025/312 is 5458650/12.