If you are not familiar with modules, check out Ansible - Getting Started with Modules.

The lvg module can be used to:

• Create an LVM volume group
• Delete an LVM volume group
• Add or Remove physical volumes from a volume group

In this example, volume group vg001 is created, and physical volume /dev/sda1 is in the volume group.

---
- hosts: all
  tasks:
  - name: create LVM volume group vg001
    lvg:
      vg: vg001
      pvs: /dev/sda1
      pesize: 32
...

In this example, physical volume /dev/sdb1 is added to volume group vg001.

---
- hosts: all
  tasks:
    - name: add physical volume /dev/sdb1 to volume group vg001
      lvg:
        vg: vg001
        pvs: /dev/sdb1
...

In this example, volume group vg001 is removed.

---
- hosts: all
  tasks:
    - name: remove LVM volume group vg001
      lvg:
        vg: vg001
        state: absent
...